Pith Number

pith:4JWLNHRI

pith:2012:4JWLNHRIUG2J64FHN5LGGTO7ZO

not attested not anchored not stored refs pending

Adinkra Isomorphisms and `Seeing' Shapes with Eigenvalues

Keith Burghardt, S. James Gates Jr

arxiv:1212.2731 v1 · 2012-12-12 · hep-th · 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{4JWLNHRIUG2J64FHN5LGGTO7ZO}

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	2026-05-18T03:38:35.549260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e26cb69e28a1b49f70a76f56634ddfcbbdfe3b81034044a6b26a651a087c7de3

Aliases

arxiv: 1212.2731 · arxiv_version: 1212.2731v1 · doi: 10.48550/arxiv.1212.2731 · pith_short_12: 4JWLNHRIUG2J · pith_short_16: 4JWLNHRIUG2J64FH · pith_short_8: 4JWLNHRI

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/4JWLNHRIUG2J64FHN5LGGTO7ZO \
  | 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: e26cb69e28a1b49f70a76f56634ddfcbbdfe3b81034044a6b26a651a087c7de3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "687862de4697ea290a3776cf16a4de859ef4c958594ad5af8feff93b5e9ab464",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-12-12T08:41:11Z",
    "title_canon_sha256": "640c9805b02518a809f6df83623cb72472215fbe2178388ce2a2e4e4e79e7634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2731",
    "kind": "arxiv",
    "version": 1
  }
}