Pith Number

pith:UTHEUF2K

pith:2005:UTHEUF2KPEAJXJGYAH52J5KS4Y

not attested not anchored not stored refs pending

Integrability of graph combinatorics via random walks and heaps of dimers

E. Guitter, P. Di Francesco

arxiv:math/0506542 v1 · 2005-06-27 · math.CO · 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{UTHEUF2KPEAJXJGYAH52J5KS4Y}

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	2026-05-18T01:05:23.364745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4ce4a174a79009ba4d801fba4f552e614cb10937b5ad113b5611e12b2a456f4

Aliases

arxiv: math/0506542 · arxiv_version: math/0506542v1 · doi: 10.48550/arxiv.math/0506542 · pith_short_12: UTHEUF2KPEAJ · pith_short_16: UTHEUF2KPEAJXJGY · pith_short_8: UTHEUF2K

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/UTHEUF2KPEAJXJGYAH52J5KS4Y \
  | 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: a4ce4a174a79009ba4d801fba4f552e614cb10937b5ad113b5611e12b2a456f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c190a4dd86977088e3d9e0b25b2eada0956cc1fa20ed9bffa3809191ce76f84",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-06-27T14:37:29Z",
    "title_canon_sha256": "9974f2715199c1074d272a80da5cfc6e1dd8611b5fa19e1bf860f0a3102f8799"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506542",
    "kind": "arxiv",
    "version": 1
  }
}