Pith Number

pith:BO6VWLKK

pith:2007:BO6VWLKKYQNNSBKKOACRGYOCZL

not attested not anchored not stored refs pending

The string topology BV algebra, Hochschild cohomology and the Goldman bracket on surfaces

Dmitry Vaintrob

arxiv:math/0702859 v1 · 2007-02-28 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BO6VWLKKYQNNSBKKOACRGYOCZL}

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

Dimer Models and Hochschild Cohomology

Receipt and verification

First computed	2026-07-04T14:59:47.299384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bbd5b2d4ac41ad9054a70051361c2cad26ed555644db874bfa5e9da4cc2dfcf

Aliases

arxiv: math/0702859 · arxiv_version: math/0702859v1 · doi: 10.48550/arxiv.math/0702859 · pith_short_12: BO6VWLKKYQNN · pith_short_16: BO6VWLKKYQNNSBKK · pith_short_8: BO6VWLKK

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/BO6VWLKKYQNNSBKKOACRGYOCZL \
  | 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: 0bbd5b2d4ac41ad9054a70051361c2cad26ed555644db874bfa5e9da4cc2dfcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95b60288a3121328f509d33e8ee51b24b0f9003388d6af4222c2cedb532a56d2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2007-02-28T05:21:55Z",
    "title_canon_sha256": "cf18be5f0ad53ff9786370e1d8127b6c06436ee22dcdcd2aab8c48891e5fbf8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702859",
    "kind": "arxiv",
    "version": 1
  }
}