Pith Number

pith:JLXHHTY2

pith:2015:JLXHHTY2DJWD7PK6K2R5KVO7QY

not attested not anchored not stored refs pending

Poisson-Lie groupoids and the contraction procedure

Kenny De Commer

arxiv:1502.07852 v2 · 2015-02-27 · 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{JLXHHTY2DJWD7PK6K2R5KVO7QY}

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	2026-05-18T02:24:28.155140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4aee73cf1a1a6c3fbd5e56a3d555df862fbac6a0b6a5191c3cbd556de297278b

Aliases

arxiv: 1502.07852 · arxiv_version: 1502.07852v2 · doi: 10.48550/arxiv.1502.07852 · pith_short_12: JLXHHTY2DJWD · pith_short_16: JLXHHTY2DJWD7PK6 · pith_short_8: JLXHHTY2

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/JLXHHTY2DJWD7PK6K2R5KVO7QY \
  | 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: 4aee73cf1a1a6c3fbd5e56a3d555df862fbac6a0b6a5191c3cbd556de297278b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b2bdfd6a9e3d334bdee7de76b948399de98354816f25c83a0702679db0c0aeb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-27T10:12:20Z",
    "title_canon_sha256": "2b937d4acd1138e8b5f811445c5ca449984dbb4532e6dd2b14ef7942fc253f58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07852",
    "kind": "arxiv",
    "version": 2
  }
}