Pith Number

pith:WDXM4KDE

pith:2014:WDXM4KDEAAGH3PZGXUVCKBKMWD

not attested not anchored not stored refs pending

On the asymptotics of constrained exponential random graphs

Mei Yin, Richard Kenyon

arxiv:1406.3662 v2 · 2014-06-13 · 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{WDXM4KDEAAGH3PZGXUVCKBKMWD}

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	2026-05-18T00:46:17.038800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0eece2864000c7dbf26bd2a25054cb0c310f57804513256a3e9c2e19ae8f766

Aliases

arxiv: 1406.3662 · arxiv_version: 1406.3662v2 · doi: 10.48550/arxiv.1406.3662 · pith_short_12: WDXM4KDEAAGH · pith_short_16: WDXM4KDEAAGH3PZG · pith_short_8: WDXM4KDE

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/WDXM4KDEAAGH3PZGXUVCKBKMWD \
  | 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: b0eece2864000c7dbf26bd2a25054cb0c310f57804513256a3e9c2e19ae8f766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b1dd183e9cfee983f2b0cb426bac0559a9d8c6b2e4961b2369469df62ba8b2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-06-13T22:39:45Z",
    "title_canon_sha256": "2184ee62efdbf823915c8be0fec394897a7e32e19e538a47a1ab816a7c8db20c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3662",
    "kind": "arxiv",
    "version": 2
  }
}