Pith Number

pith:YKSMCTI5

pith:2014:YKSMCTI5OKBF2R25Q2GT65CGRR

not attested not anchored not stored refs pending

Asymptotics for Sparse Exponential Random Graph Models

Lingjiong Zhu, Mei Yin

arxiv:1411.4722 v3 · 2014-11-18 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YKSMCTI5OKBF2R25Q2GT65CGRR}

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	2026-05-18T00:46:17.000422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2a4c14d1d72825d475d868d3f74468c6e2500a8aadb31c4ea806a9e0828eba4

Aliases

arxiv: 1411.4722 · arxiv_version: 1411.4722v3 · doi: 10.48550/arxiv.1411.4722 · pith_short_12: YKSMCTI5OKBF · pith_short_16: YKSMCTI5OKBF2R25 · pith_short_8: YKSMCTI5

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/YKSMCTI5OKBF2R25Q2GT65CGRR \
  | 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: c2a4c14d1d72825d475d868d3f74468c6e2500a8aadb31c4ea806a9e0828eba4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5aedb12f26acdff89cabc22fb4c6750b91ed1cffd1fe68edde612a061c3d24d8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-11-18T03:08:41Z",
    "title_canon_sha256": "92336ac1487ca51d5c0fbc0490ca4e7cbf1ad01005c46466b98460b562fbb593"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4722",
    "kind": "arxiv",
    "version": 3
  }
}