Pith Number

pith:P4BPW3YN

pith:2016:P4BPW3YNGPQDNBU4V43ESZDI3Y

not attested not anchored not stored refs pending

Permutation graphs and unique games

Monika Rosicka, Simone Severini

arxiv:1608.06661 v1 · 2016-08-23 · 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{P4BPW3YNGPQDNBU4V43ESZDI3Y}

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	2026-05-18T01:07:57.797776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f02fb6f0d33e036869caf36496468de31e72b9aee79dd6d356310ae4c0f8bbd

Aliases

arxiv: 1608.06661 · arxiv_version: 1608.06661v1 · doi: 10.48550/arxiv.1608.06661 · pith_short_12: P4BPW3YNGPQD · pith_short_16: P4BPW3YNGPQDNBU4 · pith_short_8: P4BPW3YN

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/P4BPW3YNGPQDNBU4V43ESZDI3Y \
  | 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: 7f02fb6f0d33e036869caf36496468de31e72b9aee79dd6d356310ae4c0f8bbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7898d34e8ae868d33ad625af23855174aeed91d4ffec7ef6b56acc71e4793cad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-23T22:31:22Z",
    "title_canon_sha256": "6ae039a3c9540b8560484c82531f043835b8c5b52dd1167429325214afd28bef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06661",
    "kind": "arxiv",
    "version": 1
  }
}