Pith Number

pith:UFAS2UQE

pith:2019:UFAS2UQE53KOXUL6LDM6QCFI2T

not attested not anchored not stored refs pending

Generalized Intransitive Dice: Mimicking an Arbitrary Tournament

Ethan Akin

arxiv:1901.09477 v2 · 2019-01-28 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UFAS2UQE53KOXUL6LDM6QCFI2T}

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	2026-05-17T23:47:39.448887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1412d5204eed4ebd17e58d9e808a8d4dba46ba19f8e73d03e8e7e3a7ef339ee

Aliases

arxiv: 1901.09477 · arxiv_version: 1901.09477v2 · doi: 10.48550/arxiv.1901.09477 · pith_short_12: UFAS2UQE53KO · pith_short_16: UFAS2UQE53KOXUL6 · pith_short_8: UFAS2UQE

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/UFAS2UQE53KOXUL6LDM6QCFI2T \
  | 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: a1412d5204eed4ebd17e58d9e808a8d4dba46ba19f8e73d03e8e7e3a7ef339ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fdd9daa62f40831823515248de938d754c05ebeaa1725b6a588f77dd8e86766",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-01-28T01:10:41Z",
    "title_canon_sha256": "d9771e8f2f3825d0ba4f25e99e564be68614ce4a2d640259216fedc51e5f1ef0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09477",
    "kind": "arxiv",
    "version": 2
  }
}