Pith Number

pith:GSZ2AICR

pith:2012:GSZ2AICRDIWVP4EK5EW5PY3XCK

not attested not anchored not stored refs pending

Mis\`ere-play Hackenbush Sprigs

Neil A. McKay, Rebecca Milley, Richard J. Nowakowski

arxiv:1202.5654 v1 · 2012-02-25 · 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{GSZ2AICRDIWVP4EK5EW5PY3XCK}

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	2026-05-18T04:01:25.159028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34b3a020511a2d57f08ae92dd7e37712ad6347a398584ce009afa499065de99a

Aliases

arxiv: 1202.5654 · arxiv_version: 1202.5654v1 · doi: 10.48550/arxiv.1202.5654 · pith_short_12: GSZ2AICRDIWV · pith_short_16: GSZ2AICRDIWVP4EK · pith_short_8: GSZ2AICR

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/GSZ2AICRDIWVP4EK5EW5PY3XCK \
  | 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: 34b3a020511a2d57f08ae92dd7e37712ad6347a398584ce009afa499065de99a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "599f1f4569de1d4aba5fb4c3303dd1fdb067a2e7bb6ad6d0015be658de9fa65e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-25T15:14:44Z",
    "title_canon_sha256": "cb8217a4c3d53b00302646480002f6fd4b80e4769898f20b7b22b368337a0aae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5654",
    "kind": "arxiv",
    "version": 1
  }
}