Pith Number

pith:VQN4RVLV

pith:1999:VQN4RVLVH42OJG4MDUY3QGMWMK

not attested not anchored not stored refs pending

Gerstenhaber bracket on double Hochschild complex and deformation theory

Boris Shoikhet

arxiv:math/9910043 v1 · 1999-10-07 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQN4RVLVH42OJG4MDUY3QGMWMK}

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	2026-07-04T14:41:20.168502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac1bc8d5753f34e49b8c1d31b81996629d4146c8f3c94ffe02c5adc5acb46618

Aliases

arxiv: math/9910043 · arxiv_version: math/9910043v1 · doi: 10.48550/arxiv.math/9910043 · pith_short_12: VQN4RVLVH42O · pith_short_16: VQN4RVLVH42OJG4M · pith_short_8: VQN4RVLV

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/VQN4RVLVH42OJG4MDUY3QGMWMK \
  | 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: ac1bc8d5753f34e49b8c1d31b81996629d4146c8f3c94ffe02c5adc5acb46618

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bae31f92dea13009a620452ea7fe4e0605f555da1104e148eba2675c243eea63",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1999-10-07T17:30:19Z",
    "title_canon_sha256": "58ee4cfcc6975ab0d291b9f5d3ac6572df286160acea9b53f9f7fc17e33247db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9910043",
    "kind": "arxiv",
    "version": 1
  }
}