Pith Number

pith:ZBNXFA3M

pith:2011:ZBNXFA3M6GUIHDUJ37RLJQUSTF

not attested not anchored not stored refs pending

A random graph model based on 3-interactions

\'Agnes Backhausz, Tam\'as F. M\'ori

arxiv:1112.0146 v1 · 2011-12-01 · 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{ZBNXFA3M6GUIHDUJ37RLJQUSTF}

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	2026-05-18T04:07:16.806887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c85b72836cf1a8838e89dfe2b4c2929975f8a0bf4dcf7944670fb553dfdd0aec

Aliases

arxiv: 1112.0146 · arxiv_version: 1112.0146v1 · doi: 10.48550/arxiv.1112.0146 · pith_short_12: ZBNXFA3M6GUI · pith_short_16: ZBNXFA3M6GUIHDUJ · pith_short_8: ZBNXFA3M

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/ZBNXFA3M6GUIHDUJ37RLJQUSTF \
  | 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: c85b72836cf1a8838e89dfe2b4c2929975f8a0bf4dcf7944670fb553dfdd0aec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8a87891f81fd571bc1faea2913767a2473bf8281a182cfdbf1f28b9ad924c7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-01T11:45:43Z",
    "title_canon_sha256": "1422b91b9d41c94e45df8eb6e308acbdb3dc2cf5f41ccc7bedd8b4d38fe047fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0146",
    "kind": "arxiv",
    "version": 1
  }
}