Pith Number

pith:IVMI5RTZ

pith:2007:IVMI5RTZXVVSV7CHXJ7P2HDEUH

not attested not anchored not stored refs pending

Cohomology of Lie 2-groups

Gregory Ginot, Ping Xu

arxiv:0712.2069 v2 · 2007-12-13 · math.AT · hep-th · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IVMI5RTZXVVSV7CHXJ7P2HDEUH}

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	2026-05-18T04:35:55.422524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45588ec679bd6b2afc47ba7efd1c64a1e1fb54012fe5419efb4ea3e6af8ae373

Aliases

arxiv: 0712.2069 · arxiv_version: 0712.2069v2 · doi: 10.48550/arxiv.0712.2069 · pith_short_12: IVMI5RTZXVVS · pith_short_16: IVMI5RTZXVVSV7CH · pith_short_8: IVMI5RTZ

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/IVMI5RTZXVVSV7CHXJ7P2HDEUH \
  | 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: 45588ec679bd6b2afc47ba7efd1c64a1e1fb54012fe5419efb4ea3e6af8ae373

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b46714eecfe8844c8e75ea1dae8a7d8976796a54434765074bb6f77d20d247cf",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2007-12-13T00:28:13Z",
    "title_canon_sha256": "00806a17ec840fc78550c3d8e27933c4b96cf20fb5d7b5e3945854266443f2ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.2069",
    "kind": "arxiv",
    "version": 2
  }
}