Pith Number

pith:MDBFLQKL

pith:2010:MDBFLQKLXI2KGKNCSEB2XP2CO4

not attested not anchored not stored refs pending

Lichnerowicz cocycles and central Lie group extensions

Cornelia Vizman

arxiv:1008.0106 v1 · 2010-07-31 · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDBFLQKLXI2KGKNCSEB2XP2CO4}

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	2026-05-18T04:08:13.603077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60c255c14bba34a329a29103abbf4277335e7bd2269907a9e4b8a3e3cab186db

Aliases

arxiv: 1008.0106 · arxiv_version: 1008.0106v1 · doi: 10.48550/arxiv.1008.0106 · pith_short_12: MDBFLQKLXI2K · pith_short_16: MDBFLQKLXI2KGKNC · pith_short_8: MDBFLQKL

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/MDBFLQKLXI2KGKNCSEB2XP2CO4 \
  | 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: 60c255c14bba34a329a29103abbf4277335e7bd2269907a9e4b8a3e3cab186db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9ff48ed5605e5e62474021f5e8af27b411dfefc1d09de5546b8723e3127d555",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-07-31T16:23:23Z",
    "title_canon_sha256": "57f6b64724aab41822702cff49d3b4289818a24f096c165c1037fb20b5f8b547"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0106",
    "kind": "arxiv",
    "version": 1
  }
}