Pith Number

pith:4LUIYJRO

pith:2012:4LUIYJRO6OM33LUVKJQUJUIPUF

not attested not anchored not stored refs pending

Spin foam with topologically encoded tetrad on trivalent spin networks

Raymond Aschheim

arxiv:1212.5473 v1 · 2012-12-21 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LUIYJRO6OM33LUVKJQUJUIPUF}

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	2026-05-18T03:37:54.292882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2e88c262ef399bdae95526144d10fa156057df555813eef854b31533b1f72a9

Aliases

arxiv: 1212.5473 · arxiv_version: 1212.5473v1 · doi: 10.48550/arxiv.1212.5473 · pith_short_12: 4LUIYJRO6OM3 · pith_short_16: 4LUIYJRO6OM33LUV · pith_short_8: 4LUIYJRO

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/4LUIYJRO6OM33LUVKJQUJUIPUF \
  | 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: e2e88c262ef399bdae95526144d10fa156057df555813eef854b31533b1f72a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbad7c11e69338dccdad6f4078d2fb60726a33613602bfe6b8e785816ce0e342",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-12-21T15:01:58Z",
    "title_canon_sha256": "1901adde6839e9efd2290379aed5644a458f867d426bf766a344da63038b0a89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5473",
    "kind": "arxiv",
    "version": 1
  }
}