Pith Number

pith:G4E7NGWK

pith:2005:G4E7NGWKZMUOD42O64UFHGHRSB

not attested not anchored not stored refs pending

Pinning by a sparse potential

\'Elise Janvresse (LMRS), Thierry de la Rue (LMRS), Yvan Velenik (LMRS)

arxiv:math/0501135 v3 · 2005-01-10 · math.PR · 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{G4E7NGWKZMUOD42O64UFHGHRSB}

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	2026-05-18T01:08:51.435439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3709f69acacb28e1f34ef7285398f1907ce8ff687ec01eae4071b8ae761af8bb

Aliases

arxiv: math/0501135 · arxiv_version: math/0501135v3 · doi: 10.48550/arxiv.math/0501135 · pith_short_12: G4E7NGWKZMUO · pith_short_16: G4E7NGWKZMUOD42O · pith_short_8: G4E7NGWK

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/G4E7NGWKZMUOD42O64UFHGHRSB \
  | 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: 3709f69acacb28e1f34ef7285398f1907ce8ff687ec01eae4071b8ae761af8bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a644c01483916700a69d1b756e07826f7b22f030a6ca5e7a78775599be2ab347",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-01-10T13:34:36Z",
    "title_canon_sha256": "4bd8ced73613eb6c3a2e7948e7cf7beab339bd9eab3c7f340b787f2738cb79e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501135",
    "kind": "arxiv",
    "version": 3
  }
}