Pith Number

pith:YBA4ECIG

pith:1997:YBA4ECIGUROASAUIGVHTAULFM6

not attested not anchored not stored refs pending

Frobenius Manifolds and Formality of Lie Algebras of Polyvector Fields

Maxim Kontsevich, Sergey Barannikov

arxiv:alg-geom/9710032 v2 · 1997-10-28 · alg-geom · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YBA4ECIGUROASAUIGVHTAULFM6}

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.

Cited by

1 paper in Pith

Off-shell double copy theories in BV

Receipt and verification

First computed	2026-07-05T05:43:34.081131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c041c20906a45c090288354f305165678685ea55a69703ee3a2089b1e0cec772

Aliases

arxiv: alg-geom/9710032 · arxiv_version: alg-geom/9710032v2 · doi: 10.48550/arxiv.alg-geom/9710032 · pith_short_12: YBA4ECIGUROA · pith_short_16: YBA4ECIGUROASAUI · pith_short_8: YBA4ECIG

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/YBA4ECIGUROASAUIGVHTAULFM6 \
  | 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: c041c20906a45c090288354f305165678685ea55a69703ee3a2089b1e0cec772

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00167a39b41e2517493440d60da1ffcc6068b2d21c4501a595263371a65959a1",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1997-10-28T23:19:11Z",
    "title_canon_sha256": "7b0724e260b56abb30802878d5beadcfcd87b4d9ec0244fe1d95cc54a983bd92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9710032",
    "kind": "arxiv",
    "version": 2
  }
}