Pith Number

pith:AJGOOHXG

pith:2010:AJGOOHXGFZ5V4GLTSVDGYTRIBD

not attested not anchored not stored refs pending

Commuting Isometries of the Complex Hyperbolic Space

Krishnendu Gongopadhyay, Wensheng Cao

arxiv:1002.2479 v3 · 2010-02-12 · 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{AJGOOHXGFZ5V4GLTSVDGYTRIBD}

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	2026-05-18T03:16:06.737482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

024ce71ee62e7b5e197395466c4e2808c75d8eeeaa74fc5235e00c085844e7af

Aliases

arxiv: 1002.2479 · arxiv_version: 1002.2479v3 · doi: 10.48550/arxiv.1002.2479 · pith_short_12: AJGOOHXGFZ5V · pith_short_16: AJGOOHXGFZ5V4GLT · pith_short_8: AJGOOHXG

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/AJGOOHXGFZ5V4GLTSVDGYTRIBD \
  | 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: 024ce71ee62e7b5e197395466c4e2808c75d8eeeaa74fc5235e00c085844e7af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "567c1c6834a20bc4384100a142f37681349e17f1443db94cd6cc2c4f055fb3dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-02-12T06:58:06Z",
    "title_canon_sha256": "61657125afee53dd1afb4f091c0502125613252474aee12e68efb2d2ea512fd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2479",
    "kind": "arxiv",
    "version": 3
  }
}