Pith Number

pith:ZVLP7YSQ

pith:2018:ZVLP7YSQYX4FU7XRJKNRSAP6SO

not attested not anchored not stored refs pending

Progress on mis\`ere dead ends: game comparison, canonical form, and conjugate inverses

Carlos Santos, Gabriel Renault, Rebecca Milley, Richard Nowakowski, Urban Larsson

arxiv:1807.11297 v1 · 2018-07-30 · 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{ZVLP7YSQYX4FU7XRJKNRSAP6SO}

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	2026-05-18T00:09:32.354402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd56ffe250c5f85a7ef14a9b1901fe939bdeddd423becf0a1c69f88cbb866dc9

Aliases

arxiv: 1807.11297 · arxiv_version: 1807.11297v1 · doi: 10.48550/arxiv.1807.11297 · pith_short_12: ZVLP7YSQYX4F · pith_short_16: ZVLP7YSQYX4FU7XR · pith_short_8: ZVLP7YSQ

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/ZVLP7YSQYX4FU7XRJKNRSAP6SO \
  | 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: cd56ffe250c5f85a7ef14a9b1901fe939bdeddd423becf0a1c69f88cbb866dc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dab23ff6cbcb7a02bac4aa769b752c4e01b89623102a2ff0e73ecf7acd7789ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-30T11:48:43Z",
    "title_canon_sha256": "b7bd79f5f65d4b3b0d9c78840abee895fd8dd973fd3e7bab375ab51262d92220"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11297",
    "kind": "arxiv",
    "version": 1
  }
}