Pith Number

pith:VJ6NH765

pith:2004:VJ6NH7653Z67FBPSEU3CCG3L4C

not attested not anchored not stored refs pending

Symmetry reductions of a particular set of equations of associativity in twodimensional topological field theory

Maria Luz Gandarias (Universidad de Ca'diz), Robert Conte (CEA-Saclay)

arxiv:math/0412439 v1 · 2004-12-21 · math.AG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VJ6NH7653Z67FBPSEU3CCG3L4C}

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	2026-05-18T02:49:02.491610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa7cd3ffddde7df285f22536211b6be0891e030a110aec63fb857def3c4eeca2

Aliases

arxiv: math/0412439 · arxiv_version: math/0412439v1 · doi: 10.48550/arxiv.math/0412439 · pith_short_12: VJ6NH7653Z67 · pith_short_16: VJ6NH7653Z67FBPS · pith_short_8: VJ6NH765

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/VJ6NH7653Z67FBPSEU3CCG3L4C \
  | 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: aa7cd3ffddde7df285f22536211b6be0891e030a110aec63fb857def3c4eeca2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8910e318b07355d3e76040bbfb2c05a8a2aa9bb657d8ea044a0e2eb567932064",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-12-21T18:07:41Z",
    "title_canon_sha256": "ce697c75f0f12c29227b53863be14856d7cdcc52bdbc1037ddcaf02a00df5c15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412439",
    "kind": "arxiv",
    "version": 1
  }
}