Pith Number

pith:QVJEW54I

pith:2011:QVJEW54IX4FHKYOGHDPY3PXUOU

not attested not anchored not stored refs pending

Weak Pullbacks of Topological Groupoids

Aviv Censor, Daniele Grandini

arxiv:1101.3219 v1 · 2011-01-17 · math.FA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVJEW54IX4FHKYOGHDPY3PXUOU}

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	2026-05-18T04:31:30.314960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85524b7788bf0a7561c638df8dbef4753f7fb03a56b7537e5c20b5eee83cd0de

Aliases

arxiv: 1101.3219 · arxiv_version: 1101.3219v1 · doi: 10.48550/arxiv.1101.3219 · pith_short_12: QVJEW54IX4FH · pith_short_16: QVJEW54IX4FHKYOG · pith_short_8: QVJEW54I

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/QVJEW54IX4FHKYOGHDPY3PXUOU \
  | 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: 85524b7788bf0a7561c638df8dbef4753f7fb03a56b7537e5c20b5eee83cd0de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a22c7aba594d1df165d0d7161d8e6154d68ae76732d756d74f037d5f2d466a9",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-01-17T14:08:17Z",
    "title_canon_sha256": "63104e8ec918e993f493e732d6a768fdd49a849cad275405d9896b107311278b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3219",
    "kind": "arxiv",
    "version": 1
  }
}