Pith Number

pith:AN2BGAFI

pith:2016:AN2BGAFIFCI7JGSXS4PSXNV2HZ

not attested not anchored not stored refs pending

The social network model on infinite graphs

Allan Sly, Ben Morris, Chuan Qin, Jonathan Hermon

arxiv:1610.04293 v3 · 2016-10-13 · 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{AN2BGAFIFCI7JGSXS4PSXNV2HZ}

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	2026-05-17T23:42:43.757577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03741300a82891f49a57971f2bb6ba3e5d347a97e633a12fc6e887560c0c6927

Aliases

arxiv: 1610.04293 · arxiv_version: 1610.04293v3 · doi: 10.48550/arxiv.1610.04293 · pith_short_12: AN2BGAFIFCI7 · pith_short_16: AN2BGAFIFCI7JGSX · pith_short_8: AN2BGAFI

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/AN2BGAFIFCI7JGSXS4PSXNV2HZ \
  | 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: 03741300a82891f49a57971f2bb6ba3e5d347a97e633a12fc6e887560c0c6927

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c8d92fc2735865c834ea7f7f27d4304f8a2cf8647bb4e804e96c025d811b968",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-13T23:40:30Z",
    "title_canon_sha256": "87b38ee716b56b89cf7632122c6ded9f1b19da597ba339cc4fa9dc6300e34fac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04293",
    "kind": "arxiv",
    "version": 3
  }
}