Pith Number

pith:73ATZNI5

pith:2013:73ATZNI5DFGXWFRT7BWDORWKMX

not attested not anchored not stored refs pending

The Spectrum Of Hypercubes Quotiented By Doubly Even Codewords And The Thermodynamics Of Adinkras

Keith Burghardt

arxiv:1309.4036 v1 · 2013-09-16 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{73ATZNI5DFGXWFRT7BWDORWKMX}

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	2026-05-18T03:13:11.421779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fec13cb51d194d7b1633f86c3746ca65c8e10bf92a7c4e540872432bc66cb8b5

Aliases

arxiv: 1309.4036 · arxiv_version: 1309.4036v1 · doi: 10.48550/arxiv.1309.4036 · pith_short_12: 73ATZNI5DFGX · pith_short_16: 73ATZNI5DFGXWFRT · pith_short_8: 73ATZNI5

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/73ATZNI5DFGXWFRT7BWDORWKMX \
  | 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: fec13cb51d194d7b1633f86c3746ca65c8e10bf92a7c4e540872432bc66cb8b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ef533bd788aaa913c986cb2e08f03ecdcb25f5087ddf6b9e7cf4a92939097f1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-16T16:53:26Z",
    "title_canon_sha256": "7b5f28f00e38fc3e9b8321afc23a9903d8eb87379bb6120435d43fdaaf5aac96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4036",
    "kind": "arxiv",
    "version": 1
  }
}