Pith Number

pith:EECZ6XOI

pith:2014:EECZ6XOIX6E52ZKWVYDMN64GQV

not attested not anchored not stored refs pending

A Serre-Swan theorem for gerbe modules on \'etale Lie groupoids

Alessandro Valentino, Christopher Tropp, Christoph Schweigert

arxiv:1401.2824 v1 · 2014-01-13 · math.AT · math.CT · 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{EECZ6XOIX6E52ZKWVYDMN64GQV}

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	2026-05-18T03:02:31.870519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21059f5dc8bf89dd6556ae06c6fb8685675d014c0adf397b33d38eb63029d69c

Aliases

arxiv: 1401.2824 · arxiv_version: 1401.2824v1 · doi: 10.48550/arxiv.1401.2824 · pith_short_12: EECZ6XOIX6E5 · pith_short_16: EECZ6XOIX6E52ZKW · pith_short_8: EECZ6XOI

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/EECZ6XOIX6E52ZKWVYDMN64GQV \
  | 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: 21059f5dc8bf89dd6556ae06c6fb8685675d014c0adf397b33d38eb63029d69c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4ae422f83327f13c3f13fd28a71d11edd9c0662c329c5358ea2cd102eb759f4",
    "cross_cats_sorted": [
      "math.CT",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-01-13T13:04:32Z",
    "title_canon_sha256": "7d85fc07f6678e2eca1e180de008361b1795b4fcf399089df073eb44df8de1b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2824",
    "kind": "arxiv",
    "version": 1
  }
}