Pith Number

pith:FHHY26MI

pith:2025:FHHY26MIT3AJVROD25SUBY4Q7A

not attested not anchored not stored refs pending

Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition

Abhigyan Saha, Pawel Caputa, Piotr Su{\l}kowski

arxiv:2512.22997 v3 · 2025-12-28 · hep-th · math-ph · math.MP · math.PR · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FHHY26MIT3AJVROD25SUBY4Q7A}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-05-20T00:03:01.057739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29cf8d79889ec09ac5c3d76540e390f8165ff175b181789740d0789e62f0b133

Aliases

arxiv: 2512.22997 · arxiv_version: 2512.22997v3 · doi: 10.48550/arxiv.2512.22997 · pith_short_12: FHHY26MIT3AJ · pith_short_16: FHHY26MIT3AJVROD · pith_short_8: FHHY26MI

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/FHHY26MIT3AJVROD25SUBY4Q7A \
  | 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: 29cf8d79889ec09ac5c3d76540e390f8165ff175b181789740d0789e62f0b133

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d36cb097dac8e458122c0ea0ae0f987175c568f78777f148efbff165132e5b3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-12-28T16:51:19Z",
    "title_canon_sha256": "de02e94cfd11840914dff8efb89ab179f36087cdfe40bfd9db1c4dee5b1feb95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.22997",
    "kind": "arxiv",
    "version": 3
  }
}