Pith Number

pith:EDCOYT6H

pith:2026:EDCOYT6HUH5LFZRAVVNCTPIZGU

not attested not anchored not stored refs resolved

Detecting Causality with the Links--Gould Polynomial

Ben-Michael Kohli, Matthew Harper, Vladimir Chernov

The Links-Gould polynomial distinguishes all Allen-Swenberg links from the unlink of causally unrelated events.

arxiv:2605.15515 v1 · 2026-05-15 · math.GT · gr-qc · math.QA

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\usepackage{pith}
\pithnumber{EDCOYT6HUH5LFZRAVVNCTPIZGU}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

We show that it distinguishes all the Allen-Swenberg links from the link of causally unrelated events and hence detects causality in all known examples where the Alexander-Conway polynomial is not sufficient.

C2weakest assumption

That the explicit Links-Gould evaluations on the AS(n) family are correct and that non-equality to the unlink value is sufficient to conclude causal distinction under the Low-Natario-Tod and Penrose formulations (as established by prior Chernov-Nemirovski and Chernov-Martin-Petkova results).

C3one line summary

The Links-Gould polynomial distinguishes every Allen-Swenberg link AS(n) from the causally unrelated unlink, where the Alexander-Conway polynomial fails.

References

110 extracted · 110 resolved · 0 Pith anchors

[1] Allen, Samantha and Swenberg, Jacob H. , TITLE =. J. Math. Phys. , FJOURNAL =. 2021 , NUMBER =. doi:10.1063/5.0040956 , URL = 2021 · doi:10.1063/5.0040956

[2] Arnold, Vladimir I. , title =

[3] Arnold, Vladimir I. , TITLE =. 2004 , PAGES = 2004

[4] Bautista, A. and Ibort, A. and Lafuente, J. , TITLE =. Classical Quantum Gravity , FJOURNAL =. 2014 , NUMBER =. doi:10.1088/0264-9381/31/7/075020 , URL = 2014 · doi:10.1088/0264-9381/31/7/075020

[5] 2025 , note = 2025

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:01:02.657948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20c4ec4fc7a1fab2e620ad5a29bd193515c316e5c1d43122b2ccad1a31d42974

Aliases

arxiv: 2605.15515 · arxiv_version: 2605.15515v1 · doi: 10.48550/arxiv.2605.15515 · pith_short_12: EDCOYT6HUH5L · pith_short_16: EDCOYT6HUH5LFZRA · pith_short_8: EDCOYT6H

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/EDCOYT6HUH5LFZRAVVNCTPIZGU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 20c4ec4fc7a1fab2e620ad5a29bd193515c316e5c1d43122b2ccad1a31d42974

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4518be247940c728b572cb80c827d4b3dd56139db20166ab58feb94db450474f",
    "cross_cats_sorted": [
      "gr-qc",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-05-15T01:19:40Z",
    "title_canon_sha256": "2aabc68c0ffc89006096d8f12a01ad17efd21c3866c05a55d6b627c3994c6369"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15515",
    "kind": "arxiv",
    "version": 1
  }
}