Pith Number

pith:IPL5374K

pith:2010:IPL5374KQ3Z44TIKIDTCD4WGZ7

not attested not anchored not stored refs pending

The Hochschild cohomology ring of the singular cochain algebra of a space

Katsuhiko Kuribayashi

arxiv:1006.0884 v4 · 2010-06-04 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IPL5374KQ3Z44TIKIDTCD4WGZ7}

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	2026-05-18T04:28:48.447837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43d7ddff8a86f3ce4d0a40e621f2c6cfe414ff85487ffa53497f722fe82a2bc9

Aliases

arxiv: 1006.0884 · arxiv_version: 1006.0884v4 · doi: 10.48550/arxiv.1006.0884 · pith_short_12: IPL5374KQ3Z4 · pith_short_16: IPL5374KQ3Z44TIK · pith_short_8: IPL5374K

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/IPL5374KQ3Z44TIKIDTCD4WGZ7 \
  | 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: 43d7ddff8a86f3ce4d0a40e621f2c6cfe414ff85487ffa53497f722fe82a2bc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddd7b4a12ee88e03a070c87c987f01352c5ae9fef94cd52dd811934627c99a74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-06-04T12:59:42Z",
    "title_canon_sha256": "feafae1efbc41e717805a6b86c31e56c22e9d9fe91d88b9eedae426fe389dcbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0884",
    "kind": "arxiv",
    "version": 4
  }
}