Pith Number

pith:APMGT5W5

pith:2013:APMGT5W5GLMLUSH4AUZ7VWDEWV

not attested not anchored not stored refs pending

Aztec Castles and the dP3 Quiver

Gregg Musiker, Megan Leoni, Paxton Turner, Seth Neel

arxiv:1308.3926 v4 · 2013-08-19 · 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{APMGT5W5GLMLUSH4AUZ7VWDEWV}

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	2026-05-18T02:44:32.103284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03d869f6dd32d8ba48fc0533fad864b560caf507278d5e49286d0b41086e0833

Aliases

arxiv: 1308.3926 · arxiv_version: 1308.3926v4 · doi: 10.48550/arxiv.1308.3926 · pith_short_12: APMGT5W5GLML · pith_short_16: APMGT5W5GLMLUSH4 · pith_short_8: APMGT5W5

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/APMGT5W5GLMLUSH4AUZ7VWDEWV \
  | 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: 03d869f6dd32d8ba48fc0533fad864b560caf507278d5e49286d0b41086e0833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0a306087a6990f7136ce6637e21efb4823a053c4f6fbf45aeddbcb84042b621",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-19T05:28:25Z",
    "title_canon_sha256": "4b26ea07648aca496c85c8b7b71e9f3c2ac6185e086134a2e7669ff5162d59b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3926",
    "kind": "arxiv",
    "version": 4
  }
}