Pith Number

pith:KINO7IUL

pith:2016:KINO7IULHRK6OJ67EBBEKT53OX

not attested not anchored not stored refs pending

Double Bruhat cells and symplectic groupoids

Jiang-Hua Lu, Victor Mouquin

arxiv:1607.00527 v1 · 2016-07-02 · 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{KINO7IULHRK6OJ67EBBEKT53OX}

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	2026-05-18T01:11:36.852515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

521aefa28b3c55e727df2042454fbb75c1c7b3d5ff4edcb2c1cf00e52fc0ea3f

Aliases

arxiv: 1607.00527 · arxiv_version: 1607.00527v1 · doi: 10.48550/arxiv.1607.00527 · pith_short_12: KINO7IULHRK6 · pith_short_16: KINO7IULHRK6OJ67 · pith_short_8: KINO7IUL

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/KINO7IULHRK6OJ67EBBEKT53OX \
  | 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: 521aefa28b3c55e727df2042454fbb75c1c7b3d5ff4edcb2c1cf00e52fc0ea3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c22d92433f5fe5523773f409df5bd04e0b406b56cfd601514067700f2beaf291",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-07-02T16:01:44Z",
    "title_canon_sha256": "d41c04d350d847e04244b581f2de59e7d2f47717af5a2b2d28a905b128c2ce59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00527",
    "kind": "arxiv",
    "version": 1
  }
}