Pith Number

pith:H56ATRF6

pith:2008:H56ATRF6O4IDVRGXSBMNQJ3LSM

not attested not anchored not stored refs pending

Gibbs Ensembles of Nonintersecting Paths

Alexei Borodin, Senya Shlosman

arxiv:0804.0564 v1 · 2008-04-03 · 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{H56ATRF6O4IDVRGXSBMNQJ3LSM}

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	2026-05-18T02:15:54.063489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f7c09c4be77103ac4d79058d8276b933d7fe7a177db75c841dea273be76c093

Aliases

arxiv: 0804.0564 · arxiv_version: 0804.0564v1 · doi: 10.48550/arxiv.0804.0564 · pith_short_12: H56ATRF6O4ID · pith_short_16: H56ATRF6O4IDVRGX · pith_short_8: H56ATRF6

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/H56ATRF6O4IDVRGXSBMNQJ3LSM \
  | 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: 3f7c09c4be77103ac4d79058d8276b933d7fe7a177db75c841dea273be76c093

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c10d1d26785b23ed9db3369622c73dd96156d48cadaebc1d4d868acd23ee2e3",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-04-03T14:09:48Z",
    "title_canon_sha256": "418792224f2851f7fec0eaeca0435175cf10dcf77807e59d809b2a1011300cbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.0564",
    "kind": "arxiv",
    "version": 1
  }
}