Pith Number

pith:VARX2PB5

pith:2016:VARX2PB5IIIUPF4LCSU5C2P4QB

not attested not anchored not stored refs pending

Gerstenhaber bracket on the Hochschild cohomology via an arbitrary resolution

Yury Volkov

arxiv:1610.05741 v2 · 2016-10-18 · math.KT · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VARX2PB5IIIUPF4LCSU5C2P4QB}

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	2026-05-18T00:00:41.564596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8237d3c3d421147978b14a9d169fc804be02dadf43c2e958a7cbf2578e14d1c

Aliases

arxiv: 1610.05741 · arxiv_version: 1610.05741v2 · doi: 10.48550/arxiv.1610.05741 · pith_short_12: VARX2PB5IIIU · pith_short_16: VARX2PB5IIIUPF4L · pith_short_8: VARX2PB5

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/VARX2PB5IIIUPF4LCSU5C2P4QB \
  | 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: a8237d3c3d421147978b14a9d169fc804be02dadf43c2e958a7cbf2578e14d1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84e9da3e3ac1809beac962fbf5c8412e5f92aa50f3a8fc56ead8fd338c345f13",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-10-18T18:47:08Z",
    "title_canon_sha256": "866f6d4888ea60b48f4075e9bf71ed41be0cb1356e14ceeb34103a237b2b5caf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05741",
    "kind": "arxiv",
    "version": 2
  }
}