Pith Number

pith:J5F3OVVV

pith:2015:J5F3OVVVUD66AR7YZBB6R7MT6P

not attested not anchored not stored refs pending

The Evolving Voter Model on Thick Graphs

Anirban Basak, Rick Durrett, Yuan Zhang

arxiv:1512.07871 v2 · 2015-12-24 · 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{J5F3OVVVUD66AR7YZBB6R7MT6P}

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	2026-05-18T01:11:54.834972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f4bb756b5a0fde047f8c843e8fd93f3dbf2368f2d8bc71e842e8e39d5b7dcb9

Aliases

arxiv: 1512.07871 · arxiv_version: 1512.07871v2 · doi: 10.48550/arxiv.1512.07871 · pith_short_12: J5F3OVVVUD66 · pith_short_16: J5F3OVVVUD66AR7Y · pith_short_8: J5F3OVVV

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/J5F3OVVVUD66AR7YZBB6R7MT6P \
  | 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: 4f4bb756b5a0fde047f8c843e8fd93f3dbf2368f2d8bc71e842e8e39d5b7dcb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83be554b5870bf20d971a971e4b1982597963fd9c0996d60ca56dfe463f5bad8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-24T17:50:25Z",
    "title_canon_sha256": "373d52cbeef96da9cf34011dce59c0c203336729fafd04d95d220b1b247b5cf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07871",
    "kind": "arxiv",
    "version": 2
  }
}