Pith Number

pith:A74FAG4W

pith:2012:A74FAG4WTT527NAWGQDXC2GKN5

not attested not anchored not stored refs pending

Growth of uniform infinite causal triangulations

A. Yambartsev, S. Zohren, V. Sisko

arxiv:1203.2869 v2 · 2012-03-13 · math-ph · math.MP · 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{A74FAG4WTT527NAWGQDXC2GKN5}

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	2026-05-18T03:34:35.698926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07f8501b969cfbafb41634077168ca6f5f94a22bd3ed9e4caf2c2fc51ee3998a

Aliases

arxiv: 1203.2869 · arxiv_version: 1203.2869v2 · doi: 10.48550/arxiv.1203.2869 · pith_short_12: A74FAG4WTT52 · pith_short_16: A74FAG4WTT527NAW · pith_short_8: A74FAG4W

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/A74FAG4WTT527NAWGQDXC2GKN5 \
  | 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: 07f8501b969cfbafb41634077168ca6f5f94a22bd3ed9e4caf2c2fc51ee3998a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1fc1bf9daa6bdc0a5ff75b734341e59ed7f0c42fd3df181d66ecebd53630143",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-03-13T17:16:53Z",
    "title_canon_sha256": "5b04a7360e197d2d1e132bd914d7392dae016f7acaa45637560dba651cf19e92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2869",
    "kind": "arxiv",
    "version": 2
  }
}