Pith Number

pith:XZIQJDS5

pith:2004:XZIQJDS5DN7WBDF5EXQGGYGWLN

not attested not anchored not stored refs pending

Inhomogenous model of crossing loops and multidegrees of some algebraic varieties

P. Di Francesco, P. Zinn-Justin

arxiv:math-ph/0412031 v4 · 2004-12-10 · math-ph · math.AG · math.CO · 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{XZIQJDS5DN7WBDF5EXQGGYGWLN}

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

Hybrid pipe dreams for the lower-upper scheme

Receipt and verification

First computed	2026-07-04T14:34:03.984858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be51048e5d1b7f608cbd25e06360d65b66115115801d651ecbf19218420c446f

Aliases

arxiv: math-ph/0412031 · arxiv_version: math-ph/0412031v4 · doi: 10.48550/arxiv.math-ph/0412031 · pith_short_12: XZIQJDS5DN7W · pith_short_16: XZIQJDS5DN7WBDF5 · pith_short_8: XZIQJDS5

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/XZIQJDS5DN7WBDF5EXQGGYGWLN \
  | 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: be51048e5d1b7f608cbd25e06360d65b66115115801d651ecbf19218420c446f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70a353ef8bfe95e4867f5853e9127b247f1e3688a22f542c7e8002e6c085267b",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO",
      "math.MP",
      "nlin.SI"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-12-10T15:31:55Z",
    "title_canon_sha256": "9399b422cad03bd3e33c20566ec2ca3b2700e4a9ee5834f6ddb7365934acf5d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0412031",
    "kind": "arxiv",
    "version": 4
  }
}