Pith Number

pith:75Y5LDF7

pith:2021:75Y5LDF77KY7MP6ZA3KN4KAVYU

not attested not anchored not stored refs pending

Degree-preserving graph dynamics -- a versatile process to construct random networks

P\'eter L. Erd\H{o}s, Shubha R. Kharel, Tam\'as R. Mezei, Zolt\'an Toroczkai

arxiv:2111.11994 v3 · 2021-11-23 · math.CO · cs.DM · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{75Y5LDF77KY7MP6ZA3KN4KAVYU}

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	2026-07-05T07:30:42.518400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff71d58cbffab1f63fd906d4de2815c537597d5aa4e9768e18d659f24d554513

Aliases

arxiv: 2111.11994 · arxiv_version: 2111.11994v3 · doi: 10.48550/arxiv.2111.11994 · pith_short_12: 75Y5LDF77KY7 · pith_short_16: 75Y5LDF77KY7MP6Z · pith_short_8: 75Y5LDF7

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/75Y5LDF77KY7MP6ZA3KN4KAVYU \
  | 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: ff71d58cbffab1f63fd906d4de2815c537597d5aa4e9768e18d659f24d554513

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1dc73e3a18ff1929faa21ee7965a51d74382630389b8e21ee169c1c415137d6",
    "cross_cats_sorted": [
      "cs.DM",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-11-23T16:46:52Z",
    "title_canon_sha256": "55a983f80502989e361dd5bbac6cc2664c65155897d6827cc8347e3fcbc3cfd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.11994",
    "kind": "arxiv",
    "version": 3
  }
}