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Pith Number

pith:P3HZGUJ6

pith:2018:P3HZGUJ6D4HT3TVUUD6BCE6Z6V
not attested not anchored not stored refs pending

Diversity

Andrey Kupavskii, Peter Frankl

arxiv:1811.01111 v1 · 2018-11-02 · math.CO · cs.DM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{P3HZGUJ6D4HT3TVUUD6BCE6Z6V}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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 2026-05-18T00:01:37.100005Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7ecf93513e1f0f3dceb4a0fc1113d9f54b5717400926a24c0cd4ea7a03a67975

Aliases

arxiv: 1811.01111 · arxiv_version: 1811.01111v1 · doi: 10.48550/arxiv.1811.01111 · pith_short_12: P3HZGUJ6D4HT · pith_short_16: P3HZGUJ6D4HT3TVU · pith_short_8: P3HZGUJ6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/P3HZGUJ6D4HT3TVUUD6BCE6Z6V \
  | 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: 7ecf93513e1f0f3dceb4a0fc1113d9f54b5717400926a24c0cd4ea7a03a67975
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ec5635baa9f6e2af478e9138b9428aaf8d08e5b1b99f00a5b7d9d870b6cbe995",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-02T22:22:45Z",
    "title_canon_sha256": "f277b1934a3bf105a7d2730f9ab3a398311ec76c0aa491b9b6c8283957751d85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01111",
    "kind": "arxiv",
    "version": 1
  }
}