Pith Number

pith:OCM3A3HN

pith:2017:OCM3A3HN4NPJHV52GTOVMGL4HX

not attested not anchored not stored refs pending

Efficiently sampling the realizations of irregular, but linearly bounded bipartite and directed degree sequences

Istv\'an Mikl\'os, P\'eter L. Erd\H{o}s, Tam\'as R\'obert Mezei

arxiv:1712.01709 v2 · 2017-12-04 · 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{OCM3A3HN4NPJHV52GTOVMGL4HX}

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	2026-07-05T00:17:24.317459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7099b06cede35e93d7ba34dd56197c3dffcad3708b801475071a55a3a598742b

Aliases

arxiv: 1712.01709 · arxiv_version: 1712.01709v2 · doi: 10.48550/arxiv.1712.01709 · pith_short_12: OCM3A3HN4NPJ · pith_short_16: OCM3A3HN4NPJHV52 · pith_short_8: OCM3A3HN

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/OCM3A3HN4NPJHV52GTOVMGL4HX \
  | 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: 7099b06cede35e93d7ba34dd56197c3dffcad3708b801475071a55a3a598742b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cd07dbd58cb09b02f09e1b24de8d2be1b642fc5be4103a02c1248668c70b2f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-04T18:19:57Z",
    "title_canon_sha256": "ff89a1569f94c34aeea9df9bc46ff020b82fb3b5f801f6fceabf4e1a72aaef91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01709",
    "kind": "arxiv",
    "version": 2
  }
}