Pith Number

pith:52JROKCF

pith:2015:52JROKCFA5IG4KKB5E6WMAFPYM

not attested not anchored not stored refs pending

Modular Classes of Lie Groupoid Representations up to Homotopy

Rajan Amit Mehta

arxiv:1502.06253 v3 · 2015-02-22 · 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{52JROKCFA5IG4KKB5E6WMAFPYM}

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	2026-05-18T01:36:18.308196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee9317284507506e2941e93d6600afc3388e622d48ea86582898c82492582a59

Aliases

arxiv: 1502.06253 · arxiv_version: 1502.06253v3 · doi: 10.48550/arxiv.1502.06253 · pith_short_12: 52JROKCFA5IG · pith_short_16: 52JROKCFA5IG4KKB · pith_short_8: 52JROKCF

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/52JROKCFA5IG4KKB5E6WMAFPYM \
  | 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: ee9317284507506e2941e93d6600afc3388e622d48ea86582898c82492582a59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41decd8e04c78bdca37fc32f0b71514cee460058e94645028ef91f45d0bcdfd4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-22T17:47:44Z",
    "title_canon_sha256": "39bebc9e003871add7eccde0d3b001311ca52cfd6a17f0afb48d5056f35bbaa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06253",
    "kind": "arxiv",
    "version": 3
  }
}