Pith Number

pith:3AHAKXEW

pith:2012:3AHAKXEWUBF2NWSATRI7CSYMRP

not attested not anchored not stored refs pending

Strongly Vertex-Reinforced-Random-Walk on the complete graph

Bruno Schapira (LM-Orsay), Michel Bena\"im (UNINE), Olivier Raimond (MODAL'X)

arxiv:1208.6375 v2 · 2012-08-31 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3AHAKXEWUBF2NWSATRI7CSYMRP}

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	2026-05-18T03:11:22.053725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d80e055c96a04ba6da409c51f14b0c8bf6d8ec34cb0472378d32ff968c5246d3

Aliases

arxiv: 1208.6375 · arxiv_version: 1208.6375v2 · doi: 10.48550/arxiv.1208.6375 · pith_short_12: 3AHAKXEWUBF2 · pith_short_16: 3AHAKXEWUBF2NWSA · pith_short_8: 3AHAKXEW

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/3AHAKXEWUBF2NWSATRI7CSYMRP \
  | 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: d80e055c96a04ba6da409c51f14b0c8bf6d8ec34cb0472378d32ff968c5246d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b537e75f1e0569bc267d6949a89cdd15f187bc41f957209abd0caa5551c873d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-31T06:07:51Z",
    "title_canon_sha256": "b3ffc4f2619e065088908d9fb7d9d7d645bceec514162de1f6d19c279f7b8db3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6375",
    "kind": "arxiv",
    "version": 2
  }
}