Pith Number

pith:76XWVKCJ

pith:2021:76XWVKCJQXXEGGJJKIYCF55HFL

not attested not anchored not stored refs pending

Lens Partition Functions and Integrability Properties

Mustafa Mullahasanoglu, Nuri Tas

arxiv:2112.15161 v4 · 2021-12-30 · hep-th · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76XWVKCJQXXEGGJJKIYCF55HFL}

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.

Cited by

1 paper in Pith

Flipping relation as a reduced star-star relation

Receipt and verification

First computed	2026-07-05T05:29:52.035748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffaf6aa84985ee431929523022f7a72af2a573606f977011327a8c49b5299fad

Aliases

arxiv: 2112.15161 · arxiv_version: 2112.15161v4 · doi: 10.48550/arxiv.2112.15161 · pith_short_12: 76XWVKCJQXXE · pith_short_16: 76XWVKCJQXXEGGJJ · pith_short_8: 76XWVKCJ

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/76XWVKCJQXXEGGJJKIYCF55HFL \
  | 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: ffaf6aa84985ee431929523022f7a72af2a573606f977011327a8c49b5299fad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8900787c9d6587e3b9bc201458584c59385ad88c6c1beeaa56b9a2f2f6982341",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-12-30T18:32:45Z",
    "title_canon_sha256": "40d6e76ca512f03505ece05c7204046e81c0cbc7fab3938632192dd2491e5b75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.15161",
    "kind": "arxiv",
    "version": 4
  }
}