Pith Number

pith:I5URVSX4

pith:2012:I5URVSX4M3CK3UTMVHJTTBYIHD

not attested not anchored not stored refs pending

Markov Chain Aggregation for Simple Agent-Based Models on Symmetric Networks: The Voter Model

Ricardo Lima, Sven Banisch

arxiv:1209.3902 v2 · 2012-09-18 · physics.soc-ph · cs.SI · 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{I5URVSX4M3CK3UTMVHJTTBYIHD}

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	2026-05-18T02:20:37.176782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47691acafc66c4add26ca9d339870838dcdf46e0b4e1e0501f0a1741a5840c63

Aliases

arxiv: 1209.3902 · arxiv_version: 1209.3902v2 · doi: 10.48550/arxiv.1209.3902 · pith_short_12: I5URVSX4M3CK · pith_short_16: I5URVSX4M3CK3UTM · pith_short_8: I5URVSX4

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/I5URVSX4M3CK3UTMVHJTTBYIHD \
  | 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: 47691acafc66c4add26ca9d339870838dcdf46e0b4e1e0501f0a1741a5840c63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c766eb3e908fa360fc58521abb97f020ae0a4dd8edeece51bd5098fb4d7881fc",
    "cross_cats_sorted": [
      "cs.SI",
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2012-09-18T10:31:41Z",
    "title_canon_sha256": "90b9803b34ac9c874fcbc3c82976186a35740cf38e79c85f25e39a99e3ec87fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3902",
    "kind": "arxiv",
    "version": 2
  }
}