Pith Number

pith:TQCYRC7L

pith:2010:TQCYRC7LYAYR4GJF3PLFBJC6IA

not attested not anchored not stored refs pending

VB-groupoids and representation theory of Lie groupoids

Alfonso Gracia-Saz, Rajan Amit Mehta

arxiv:1007.3658 v6 · 2010-07-21 · 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{TQCYRC7LYAYR4GJF3PLFBJC6IA}

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	2026-05-18T00:35:10.884252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c05888bebc0311e1925dbd650a45e40008da54b02b009f7f84a6a813ec4d885

Aliases

arxiv: 1007.3658 · arxiv_version: 1007.3658v6 · doi: 10.48550/arxiv.1007.3658 · pith_short_12: TQCYRC7LYAYR · pith_short_16: TQCYRC7LYAYR4GJF · pith_short_8: TQCYRC7L

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/TQCYRC7LYAYR4GJF3PLFBJC6IA \
  | 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: 9c05888bebc0311e1925dbd650a45e40008da54b02b009f7f84a6a813ec4d885

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "deaf72aea3bc45580feffe376ecf4de92c24b755a712fe0b42e000fecab3e63c",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-07-21T13:51:32Z",
    "title_canon_sha256": "8ee01a73447f4d65bd9ba26c8a8aeefe16c96f931aada4d846d070f899f42fe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3658",
    "kind": "arxiv",
    "version": 6
  }
}