Pith Number

pith:76W7IK5Y

pith:2007:76W7IK5Y3JSBESOJOSJOKFDXHG

not attested not anchored not stored refs pending

Integration over complex manifolds via Hochschild homology

Ajay C. Ramadoss

arxiv:0707.4528 v2 · 2007-07-31 · math.AG · 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{76W7IK5Y3JSBESOJOSJOKFDXHG}

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	2026-05-18T04:40:20.884011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffadf42bb8da641249c97492e5147739adf5e1713fc99577143f9235d16536ad

Aliases

arxiv: 0707.4528 · arxiv_version: 0707.4528v2 · doi: 10.48550/arxiv.0707.4528 · pith_short_12: 76W7IK5Y3JSB · pith_short_16: 76W7IK5Y3JSBESOJ · pith_short_8: 76W7IK5Y

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/76W7IK5Y3JSBESOJOSJOKFDXHG \
  | 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: ffadf42bb8da641249c97492e5147739adf5e1713fc99577143f9235d16536ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38d8b4c536c14064a3e8abeac72f3cfa8b15abf2b7f5e4b250bfc9ea44166535",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-07-31T04:11:58Z",
    "title_canon_sha256": "8c8f78df85c8916e8368d34fd78c54697da5a176d13454946b067fce610fdd4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.4528",
    "kind": "arxiv",
    "version": 2
  }
}