Pith Number

pith:Z24PKXBX

pith:2012:Z24PKXBXA2PBSTQFD2EJX6UCNM

not attested not anchored not stored refs pending

De Rham cohomology and homotopy Frobenius manifolds

Bruno Vallette, Sergey Shadrin, Vladimir Dotsenko

arxiv:1203.5077 v2 · 2012-03-22 · math.KT · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z24PKXBXA2PBSTQFD2EJX6UCNM}

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	2026-05-18T00:37:49.185263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceb8f55c37069e194e051e889bfa826b2c595166a2eb5973830559a3bcb5a8a3

Aliases

arxiv: 1203.5077 · arxiv_version: 1203.5077v2 · doi: 10.48550/arxiv.1203.5077 · pith_short_12: Z24PKXBXA2PB · pith_short_16: Z24PKXBXA2PBSTQF · pith_short_8: Z24PKXBX

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/Z24PKXBXA2PBSTQFD2EJX6UCNM \
  | 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: ceb8f55c37069e194e051e889bfa826b2c595166a2eb5973830559a3bcb5a8a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebd7d9eb0b71afb565b13619522a27ed7dd12760c04ea4252ff5c41990e39f41",
    "cross_cats_sorted": [
      "math.DG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-03-22T18:47:55Z",
    "title_canon_sha256": "e947b64b2d5960b9d0566239f1d25841b08879fad81c546e07706c6d5c62abc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5077",
    "kind": "arxiv",
    "version": 2
  }
}