Pith Number

pith:NKSIIG5F

pith:2008:NKSIIG5F54WHSICKD6MGVV72BA

not attested not anchored not stored refs pending

Dynamics of vertex-reinforced random walks

Michel Bena\"im, Pierre Tarr\`es

arxiv:0809.2739 v4 · 2008-09-16 · 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{NKSIIG5F54WHSICKD6MGVV72BA}

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	2026-05-18T04:04:31.446023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aa4841ba5ef2c79204a1f986ad7fa0836ebb9147ca66ece746c0a7a05c95193

Aliases

arxiv: 0809.2739 · arxiv_version: 0809.2739v4 · doi: 10.48550/arxiv.0809.2739 · pith_short_12: NKSIIG5F54WH · pith_short_16: NKSIIG5F54WHSICK · pith_short_8: NKSIIG5F

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/NKSIIG5F54WHSICKD6MGVV72BA \
  | 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: 6aa4841ba5ef2c79204a1f986ad7fa0836ebb9147ca66ece746c0a7a05c95193

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9f513984e6958c6ea803bac7d81d859a2f78cb8035851c00ee43f0519f09410",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-09-16T15:32:51Z",
    "title_canon_sha256": "8788c10532b85bb7a4943cefcd368fbc428ca890485297ae479aa6e79e6f9b81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.2739",
    "kind": "arxiv",
    "version": 4
  }
}