Pith Number

pith:UEOF5ZC6

pith:2021:UEOF5ZC6UOIAWD6CTQQYYU26DJ

not attested not anchored not stored refs pending

Cyclotomic expansions for the colored HOMFLY-PT invariants of double twist knots

Kefeng Liu, Qingtao Chen, Shengmao Zhu

arxiv:2110.03616 v1 · 2021-10-07 · math.GT · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UEOF5ZC6UOIAWD6CTQQYYU26DJ}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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.

Cited by

1 paper in Pith

$q$-Series Invariants of Three-Manifolds and Knots-Quivers Correspondence

Receipt and verification

First computed	2026-07-05T03:20:44.138431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a11c5ee45ea3900b0fc29c218c535e1a5c4aae36f81c3af5fb534b33d8a99e40

Aliases

arxiv: 2110.03616 · arxiv_version: 2110.03616v1 · doi: 10.48550/arxiv.2110.03616 · pith_short_12: UEOF5ZC6UOIA · pith_short_16: UEOF5ZC6UOIAWD6C · pith_short_8: UEOF5ZC6

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/UEOF5ZC6UOIAWD6CTQQYYU26DJ \
  | 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: a11c5ee45ea3900b0fc29c218c535e1a5c4aae36f81c3af5fb534b33d8a99e40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4050f834832c6747f34d30e5646be7546eda698cf14cf7a04a8b0459b403212",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-10-07T16:50:45Z",
    "title_canon_sha256": "b5c7e04f09d98b3f94d50f99797bd151fe427250b8ee002b4bb75ed24a61efa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.03616",
    "kind": "arxiv",
    "version": 1
  }
}