Pith Number

pith:DE6WX5FR

pith:2005:DE6WX5FRCW2G55ORI4NFOREXU4

not attested not anchored not stored refs pending

Formal Lagrangian Operad

Alberto S. Cattaneo, Benoit Dherin, Giovanni Felder

arxiv:math/0505051 v2 · 2005-05-03 · math.SG · 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{DE6WX5FRCW2G55ORI4NFOREXU4}

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	2026-07-05T01:06:28.896382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

193d6bf4b115b46ef5d1471a574497a729ba20b9d715ef5b3c2ff0abafb6a816

Aliases

arxiv: math/0505051 · arxiv_version: math/0505051v2 · doi: 10.48550/arxiv.math/0505051 · pith_short_12: DE6WX5FRCW2G · pith_short_16: DE6WX5FRCW2G55OR · pith_short_8: DE6WX5FR

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/DE6WX5FRCW2G55ORI4NFOREXU4 \
  | 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: 193d6bf4b115b46ef5d1471a574497a729ba20b9d715ef5b3c2ff0abafb6a816

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b473fc54acccbe110fdf5d48175d16c1a0c94ba7c6f860cb7810f1db34a4d1d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2005-05-03T10:48:43Z",
    "title_canon_sha256": "454dca7c0c57862043ae04c4ac3b1e8134ae16252c4818f41806b2c74af173dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505051",
    "kind": "arxiv",
    "version": 2
  }
}