Pith Number

pith:5FVXD7AN

pith:2007:5FVXD7AN5BVIMD5AIXZEREMDE7

not attested not anchored not stored refs pending

On a correspondence principle between discrete differential forms, graph structure and multi-vector calculus on symmetric lattices

Nelson Faustino, Uwe Kaehler

arxiv:0712.1004 v5 · 2007-12-06 · math.CV · hep-lat · math-ph · math.DG · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FVXD7AN5BVIMD5AIXZEREMDE7}

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	2026-05-18T01:59:59.465067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e96b71fc0de86a860fa045f248918327dbeb3eaf644f6b6235cccddad188b67a

Aliases

arxiv: 0712.1004 · arxiv_version: 0712.1004v5 · doi: 10.48550/arxiv.0712.1004 · pith_short_12: 5FVXD7AN5BVI · pith_short_16: 5FVXD7AN5BVIMD5A · pith_short_8: 5FVXD7AN

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/5FVXD7AN5BVIMD5AIXZEREMDE7 \
  | 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: e96b71fc0de86a860fa045f248918327dbeb3eaf644f6b6235cccddad188b67a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b360c346d93347a5e77598cd6f6f2589d172969ca1c1ffaa2708d4209a4ba04a",
    "cross_cats_sorted": [
      "hep-lat",
      "math-ph",
      "math.DG",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2007-12-06T17:33:06Z",
    "title_canon_sha256": "f9fc189199d65bcfac9a5251dcadeea97d976da1c60b71a57f5202047f25cc27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1004",
    "kind": "arxiv",
    "version": 5
  }
}