Pith Number

pith:OFJ7VHDD

pith:2013:OFJ7VHDDIQ4S6D5MXIGY5S6MKV

not attested not anchored not stored refs pending

The transverse index theorem for proper cocompact actions of Lie groupoids

H. Posthuma, M. J. Pflaum, X. Tang

arxiv:1301.0479 v2 · 2013-01-03 · math.DG · math.KT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OFJ7VHDDIQ4S6D5MXIGY5S6MKV}

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	2026-05-18T02:50:24.459616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7153fa9c6344392f0facba0d8ecbcc55578a40c7c3a510794bc6943b07924a3c

Aliases

arxiv: 1301.0479 · arxiv_version: 1301.0479v2 · doi: 10.48550/arxiv.1301.0479 · pith_short_12: OFJ7VHDDIQ4S · pith_short_16: OFJ7VHDDIQ4S6D5M · pith_short_8: OFJ7VHDD

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/OFJ7VHDDIQ4S6D5MXIGY5S6MKV \
  | 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: 7153fa9c6344392f0facba0d8ecbcc55578a40c7c3a510794bc6943b07924a3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f583ee7857b6ca2b5d4cb7fcaf4b44194c9b3461957d5ee095f5acb7ae5c7978",
    "cross_cats_sorted": [
      "math.KT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-03T15:15:59Z",
    "title_canon_sha256": "8b824915293bfb12c29ff10701dbbf97d388d863a7cac92a715cb65bee1b57fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0479",
    "kind": "arxiv",
    "version": 2
  }
}