Pith Number

pith:OHHD2MH2

pith:2019:OHHD2MH2EQ5D6EMKAF6WREC72P

not attested not anchored not stored refs pending

Extremal Behavior in Exponential Random Graphs

Ryan DeMuse

arxiv:1906.00525 v1 · 2019-06-03 · math.CO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OHHD2MH2EQ5D6EMKAF6WREC72P}

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	2026-05-17T23:44:26.835642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71ce3d30fa243a3f118a017d68905fd3c848f82489c602270a591bcc4be65709

Aliases

arxiv: 1906.00525 · arxiv_version: 1906.00525v1 · doi: 10.48550/arxiv.1906.00525 · pith_short_12: OHHD2MH2EQ5D · pith_short_16: OHHD2MH2EQ5D6EMK · pith_short_8: OHHD2MH2

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/OHHD2MH2EQ5D6EMKAF6WREC72P \
  | 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: 71ce3d30fa243a3f118a017d68905fd3c848f82489c602270a591bcc4be65709

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "808a51664ecf5b8fbad78b6b9014da9beba89a243f37b710038c267ae67e4523",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-03T02:06:16Z",
    "title_canon_sha256": "920a7a77094fa3a461fada562e770e3a9b8a611608285976deb7e6da163d0b77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.00525",
    "kind": "arxiv",
    "version": 1
  }
}