Pith Number

pith:VU2LU7F7

pith:2015:VU2LU7F7P23J5J4UFTOCS53GQD

not attested not anchored not stored refs pending

Graph Grammars, Insertion Lie Algebras, and Quantum Field Theory

Alexander Port, Matilde Marcolli

arxiv:1502.07796 v1 · 2015-02-27 · cs.FL · 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{VU2LU7F7P23J5J4UFTOCS53GQD}

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	2026-05-18T02:26:02.155220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad34ba7cbf7eb69ea7942cdc29776680d10b51cf2e269a4b4a40d6a30dadc307

Aliases

arxiv: 1502.07796 · arxiv_version: 1502.07796v1 · doi: 10.48550/arxiv.1502.07796 · pith_short_12: VU2LU7F7P23J · pith_short_16: VU2LU7F7P23J5J4U · pith_short_8: VU2LU7F7

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/VU2LU7F7P23J5J4UFTOCS53GQD \
  | 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: ad34ba7cbf7eb69ea7942cdc29776680d10b51cf2e269a4b4a40d6a30dadc307

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8d802248915da0753ba2a935ee8096b4f89de50df497e53f5528e1f4144195a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2015-02-27T01:16:54Z",
    "title_canon_sha256": "c983696e3b45bb3e5afdbc339d19ef4a8c02fc3cd4e24b8bc719409ea18e9e63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07796",
    "kind": "arxiv",
    "version": 1
  }
}