Pith Number

pith:SPBLEBDP

pith:2013:SPBLEBDPPLPU3TCTEFA2PRUICP

not attested not anchored not stored refs pending

Partizan Kayles and Misere Invertibility

Rebecca Milley

arxiv:1309.1631 v1 · 2013-09-06 · 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{SPBLEBDPPLPU3TCTEFA2PRUICP}

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	2026-05-18T03:13:58.973845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93c2b2046f7adf4dcc532141a7c68813ee78d2d2cc202704b807b9830310b613

Aliases

arxiv: 1309.1631 · arxiv_version: 1309.1631v1 · doi: 10.48550/arxiv.1309.1631 · pith_short_12: SPBLEBDPPLPU · pith_short_16: SPBLEBDPPLPU3TCT · pith_short_8: SPBLEBDP

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/SPBLEBDPPLPU3TCTEFA2PRUICP \
  | 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: 93c2b2046f7adf4dcc532141a7c68813ee78d2d2cc202704b807b9830310b613

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8233f3bbe4069e62f13f2b645a6068205a8a9c6144e2da3190e078ab90ccd03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-06T13:17:54Z",
    "title_canon_sha256": "68a55020b560af841b399a330ad0c9308c1990236c342e8eb9653e81648621c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1631",
    "kind": "arxiv",
    "version": 1
  }
}