Pith Number

pith:ZBDS6Y3T

pith:2015:ZBDS6Y3TUT6WJ5XDYIBQZKMPXA

not attested not anchored not stored refs pending

Edge- and vertex-reinforced random walks with super-linear reinforcement on infinite graphs

Codina Cotar, Debleena Thacker

arxiv:1509.00807 v3 · 2015-09-02 · 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{ZBDS6Y3TUT6WJ5XDYIBQZKMPXA}

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	2026-05-18T01:13:04.959758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8472f6373a4fd64f6e3c2030ca98fb826f77301bb28ec49b6921aa1d0b5677a

Aliases

arxiv: 1509.00807 · arxiv_version: 1509.00807v3 · doi: 10.48550/arxiv.1509.00807 · pith_short_12: ZBDS6Y3TUT6W · pith_short_16: ZBDS6Y3TUT6WJ5XD · pith_short_8: ZBDS6Y3T

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/ZBDS6Y3TUT6WJ5XDYIBQZKMPXA \
  | 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: c8472f6373a4fd64f6e3c2030ca98fb826f77301bb28ec49b6921aa1d0b5677a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6abd77a5cdadc36df90c8000ff50237b4a9cdd491c052f2336fa5b87299cf823",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-02T18:14:07Z",
    "title_canon_sha256": "6b172cec72046abc2df485caf5d9d7c1f1ac9b06e0ab08985de87bfd6e783174"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00807",
    "kind": "arxiv",
    "version": 3
  }
}