Pith Number

pith:PPP2BOD2

pith:2019:PPP2BOD2LO2IIZGNLOXLRC3C66

not attested not anchored not stored refs pending

Generalized Intransitive Dice II: Partition Constructions

Ethan Akin, Julia Saccamano

arxiv:1905.01750 v1 · 2019-05-05 · math.DS · 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{PPP2BOD2LO2IIZGNLOXLRC3C66}

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	2026-05-17T23:46:57.544497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bdfa0b87a5bb48464cd5baeb88b62f7a026eeae68cfb17b7cb259420fc4faed

Aliases

arxiv: 1905.01750 · arxiv_version: 1905.01750v1 · doi: 10.48550/arxiv.1905.01750 · pith_short_12: PPP2BOD2LO2I · pith_short_16: PPP2BOD2LO2IIZGN · pith_short_8: PPP2BOD2

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/PPP2BOD2LO2IIZGNLOXLRC3C66 \
  | 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: 7bdfa0b87a5bb48464cd5baeb88b62f7a026eeae68cfb17b7cb259420fc4faed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02706629cc7dcaf2e97636060fd78f8bc8b89f757586439768aec9294539d5b8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-05-05T21:35:20Z",
    "title_canon_sha256": "7f2e234ce7c5159d1068eb9c593c53e40f6646815d23a8ec2714610677dc5a50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.01750",
    "kind": "arxiv",
    "version": 1
  }
}