Pith Number

pith:QCPWQNJK

pith:2015:QCPWQNJKNU7OZSH5CUFXTSW7BQ

not attested not anchored not stored refs pending

Hochschild cohomology of torus-equivariant D-modules

Clemens Koppensteiner

arxiv:1506.07370 v3 · 2015-06-24 · 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{QCPWQNJKNU7OZSH5CUFXTSW7BQ}

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	2026-05-18T00:08:27.436040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

809f68352a6d3eecc8fd150b79cadf0c23ceb310afd077223d8e17ba1fd234bd

Aliases

arxiv: 1506.07370 · arxiv_version: 1506.07370v3 · doi: 10.48550/arxiv.1506.07370 · pith_short_12: QCPWQNJKNU7O · pith_short_16: QCPWQNJKNU7OZSH5 · pith_short_8: QCPWQNJK

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/QCPWQNJKNU7OZSH5CUFXTSW7BQ \
  | 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: 809f68352a6d3eecc8fd150b79cadf0c23ceb310afd077223d8e17ba1fd234bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd36987d489d5d309399d3540cfefd842257700868dd7573c3cf8609196d4d0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-06-24T14:05:15Z",
    "title_canon_sha256": "2acfe83d30afcace397429f4a9f3a268e58cccaf4ade52c196a4add91b75e860"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07370",
    "kind": "arxiv",
    "version": 3
  }
}