Pith Number

pith:IJNASCUQ

pith:2007:IJNASCUQ55IXV5TUB3JR7VO455

not attested not anchored not stored refs pending

On the Existence of Global Bisections of Lie Groupoids

D.-S. Zhong, Z. Chen, Z.-J. Liu

arxiv:0710.3909 v2 · 2007-10-21 · 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{IJNASCUQ55IXV5TUB3JR7VO455}

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	2026-07-04T15:13:06.357414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

425a090a90ef517af6740ed31fd5dcef7750edfe048b4e1bdd55a3ebcfe5e471

Aliases

arxiv: 0710.3909 · arxiv_version: 0710.3909v2 · doi: 10.48550/arxiv.0710.3909 · pith_short_12: IJNASCUQ55IX · pith_short_16: IJNASCUQ55IXV5TU · pith_short_8: IJNASCUQ

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/IJNASCUQ55IXV5TUB3JR7VO455 \
  | 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: 425a090a90ef517af6740ed31fd5dcef7750edfe048b4e1bdd55a3ebcfe5e471

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c321517d2c906686ce14a702383022234819d00bcad7ae21fc09aaf9fe3f023",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2007-10-21T06:44:20Z",
    "title_canon_sha256": "fb8985c140bd2ef8ab20a32ca7d7ee64c610c475702ebf9b42317c58675bb49c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3909",
    "kind": "arxiv",
    "version": 2
  }
}