Pith Number

pith:5GHCSROS

pith:2011:5GHCSROSO6BQ2KNPKFEIDUHK5S

not attested not anchored not stored refs pending

The Hochschild-Kostant-Rosenberg isomorphism for quantized analytic cycles

Julien Grivaux

arxiv:1109.0739 v2 · 2011-09-04 · 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{5GHCSROSO6BQ2KNPKFEIDUHK5S}

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	2026-05-18T00:33:28.115173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e98e2945d277830d29af514881d0eaec93dc59cee2afcbde3a7a1d398cc6cce6

Aliases

arxiv: 1109.0739 · arxiv_version: 1109.0739v2 · doi: 10.48550/arxiv.1109.0739 · pith_short_12: 5GHCSROSO6BQ · pith_short_16: 5GHCSROSO6BQ2KNP · pith_short_8: 5GHCSROS

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/5GHCSROSO6BQ2KNPKFEIDUHK5S \
  | 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: e98e2945d277830d29af514881d0eaec93dc59cee2afcbde3a7a1d398cc6cce6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1813b1963e456998c5eb6c764befe8f9fdfa2d874a4e869a158d3b09f2bba8ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-04T18:38:28Z",
    "title_canon_sha256": "e1f9ef7ac7786e7193fea723f7dfd3958fdf172e4ef043be1853350fc1362af5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0739",
    "kind": "arxiv",
    "version": 2
  }
}