Pith Number

pith:2GA4Y3XO

pith:2010:2GA4Y3XOAQUVXNKOCKALBEIPOY

not attested not anchored not stored refs pending

A residue formula for the fundamental Hochschild class of the Podles sphere

Elmar Wagner, Ulrich Kraehmer

arxiv:1008.1830 v1 · 2010-08-11 · math.QA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GA4Y3XOAQUVXNKOCKALBEIPOY}

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	2026-05-18T04:42:22.878496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d181cc6eee04295bb54e1280b0910f76283898715182d41c5b81279f3f8ecbe7

Aliases

arxiv: 1008.1830 · arxiv_version: 1008.1830v1 · doi: 10.48550/arxiv.1008.1830 · pith_short_12: 2GA4Y3XOAQUV · pith_short_16: 2GA4Y3XOAQUVXNKO · pith_short_8: 2GA4Y3XO

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/2GA4Y3XOAQUVXNKOCKALBEIPOY \
  | 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: d181cc6eee04295bb54e1280b0910f76283898715182d41c5b81279f3f8ecbe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d215d2ba1fbc86b466525be284e1e8aa82b6a1135a7c699b76381b0c686e3cd",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-08-11T04:56:10Z",
    "title_canon_sha256": "53981785c0710f3c7f348c29196514ea862d494a4fdf3d6ae9f5a597de5c8d56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1830",
    "kind": "arxiv",
    "version": 1
  }
}