Pith Number

pith:P7F5SKA7

pith:2010:P7F5SKA74DX3BEKXG4EWA4EOC2

not attested not anchored not stored refs pending

Universal Central Extensions of Gauge Algebras and Groups

Bas Janssens, Christoph Wockel

arxiv:1010.3569 v3 · 2010-10-18 · math.DG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7F5SKA74DX3BEKXG4EWA4EOC2}

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	2026-05-18T03:03:10.538078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fcbd9281fe0efb09157370960708e16905558b2249b160b3ea6fc0b8443822b

Aliases

arxiv: 1010.3569 · arxiv_version: 1010.3569v3 · doi: 10.48550/arxiv.1010.3569 · pith_short_12: P7F5SKA74DX3 · pith_short_16: P7F5SKA74DX3BEKX · pith_short_8: P7F5SKA7

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/P7F5SKA74DX3BEKXG4EWA4EOC2 \
  | 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: 7fcbd9281fe0efb09157370960708e16905558b2249b160b3ea6fc0b8443822b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "356e508de0651af000b4b410801a5cc44a15707e92e3fb9e68ab677aeffe9e7a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-10-18T12:04:23Z",
    "title_canon_sha256": "d18aadff5bb51ebe4bae00ce8709c4223093bf34be70c4d1c89b72c97a3acb55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3569",
    "kind": "arxiv",
    "version": 3
  }
}