Pith Number

pith:HGH55ZC4

pith:2017:HGH55ZC4H4FSQ6KGVQA2FF3W5O

not attested not anchored not stored refs pending

Coin-flipping, ball-dropping, and grass-hopping for generating random graphs from matrices of edge probabilities

Arjun S. Ramani, David F. Gleich, Nicole Eikmeier

arxiv:1709.03438 v1 · 2017-09-11 · cs.SI · cs.DM · 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{HGH55ZC4H4FSQ6KGVQA2FF3W5O}

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	2026-05-18T00:35:15.836365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

398fdee45c3f0b287946ac01a29776eba75d6ebe7bd68afa58a5fd31efdfff1f

Aliases

arxiv: 1709.03438 · arxiv_version: 1709.03438v1 · doi: 10.48550/arxiv.1709.03438 · pith_short_12: HGH55ZC4H4FS · pith_short_16: HGH55ZC4H4FSQ6KG · pith_short_8: HGH55ZC4

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/HGH55ZC4H4FSQ6KGVQA2FF3W5O \
  | 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: 398fdee45c3f0b287946ac01a29776eba75d6ebe7bd68afa58a5fd31efdfff1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2368b088eee6b4af7d0b0c99e37e8ca85d84c0da29541734e7bf4b14c560759a",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2017-09-11T15:32:37Z",
    "title_canon_sha256": "8e4f5a6b325bed21c0524cb60e6e02ded148b7055407918fcd5e55392e01a9d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03438",
    "kind": "arxiv",
    "version": 1
  }
}