Pith Number

pith:754WXTUY

pith:2015:754WXTUYSB7R7VLC3KTNJ75VT6

not attested not anchored not stored refs pending

Graded Bundles in the Category of Lie Groupoids

Andrew James Bruce, Janusz Grabowski, Katarzyna Grabowska

arxiv:1502.06092 v2 · 2015-02-21 · math.DG · math-ph · math.MP · 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{754WXTUYSB7R7VLC3KTNJ75VT6}

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	2026-05-18T01:27:15.217711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff796bce98907f1fd562daa6d4ffb59f878b9b96d7dba3f90662287129aa8d55

Aliases

arxiv: 1502.06092 · arxiv_version: 1502.06092v2 · doi: 10.48550/arxiv.1502.06092 · pith_short_12: 754WXTUYSB7R · pith_short_16: 754WXTUYSB7R7VLC · pith_short_8: 754WXTUY

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/754WXTUYSB7R7VLC3KTNJ75VT6 \
  | 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: ff796bce98907f1fd562daa6d4ffb59f878b9b96d7dba3f90662287129aa8d55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bf499aa609dd66ecac866c7bc9ccc1442cd16faf32669e0446b94ca15e02e77",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-21T10:18:45Z",
    "title_canon_sha256": "6f3f3120aa06e06f6bcb54e6b690956fe07bce8725b809fc4a7e170de712156c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06092",
    "kind": "arxiv",
    "version": 2
  }
}