Pith Number

pith:AWNWYZBB

pith:2014:AWNWYZBB33KS34BP674ER6EW5Z

not attested not anchored not stored refs pending

On Aperiodic Subtraction Games with Bounded Nim Sequence

Nathan Fox

arxiv:1407.2823 v1 · 2014-07-10 · 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{AWNWYZBB33KS34BP674ER6EW5Z}

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	2026-05-18T02:47:53.587896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

059b6c6421ded52df02ff7f848f896ee6a5449fa7aa3a24cdc7ac7f8e508cbe7

Aliases

arxiv: 1407.2823 · arxiv_version: 1407.2823v1 · doi: 10.48550/arxiv.1407.2823 · pith_short_12: AWNWYZBB33KS · pith_short_16: AWNWYZBB33KS34BP · pith_short_8: AWNWYZBB

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/AWNWYZBB33KS34BP674ER6EW5Z \
  | 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: 059b6c6421ded52df02ff7f848f896ee6a5449fa7aa3a24cdc7ac7f8e508cbe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bcfc44c060e75a9add7a6cea09dfa881abe55ac028dff9ebc88b1a9bffeeb00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-10T15:11:46Z",
    "title_canon_sha256": "1ab3fdfeea45bf5fbcb62c83cf9c7c83ee5c0a4afa9fce4f0f86eb5dad4abe64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2823",
    "kind": "arxiv",
    "version": 1
  }
}