Pith Number

pith:2IMZRM2E

pith:2013:2IMZRM2EDYM4BI45FCNEQBIWC2

not attested not anchored not stored refs pending

A multi-opinion evolving voter model with infinitely many phase transitions

Feng Shi, Peter J. Mucha, Rick Durrett

arxiv:1303.7434 v1 · 2013-03-29 · physics.soc-ph · cond-mat.dis-nn · cs.SI · math.PR · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2IMZRM2EDYM4BI45FCNEQBIWC2}

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	2026-05-18T01:50:51.027294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d21998b3441e19c0a39d289a48051616bb2f89abde72b28ee5856584d334b6df

Aliases

arxiv: 1303.7434 · arxiv_version: 1303.7434v1 · doi: 10.48550/arxiv.1303.7434 · pith_short_12: 2IMZRM2EDYM4 · pith_short_16: 2IMZRM2EDYM4BI45 · pith_short_8: 2IMZRM2E

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/2IMZRM2EDYM4BI45FCNEQBIWC2 \
  | 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: d21998b3441e19c0a39d289a48051616bb2f89abde72b28ee5856584d334b6df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82169b2e2b0422bc01deff2fddf6d20fc3ed7bc4825004e763e15e46cfde90ef",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.SI",
      "math.PR",
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2013-03-29T16:38:08Z",
    "title_canon_sha256": "75319280d12e25117d3facbe3f1c2838856c46db2715dc454868ec3c269e6e98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7434",
    "kind": "arxiv",
    "version": 1
  }
}