Pith Number

pith:C4ROSHAX

pith:2012:C4ROSHAXG2DJ7Y7Y2LEUGH6YGE

not attested not anchored not stored refs pending

An Obata-type Theorem in CR Geometry

Song-Ying Li, Xiaodong Wang

arxiv:1207.4033 v3 · 2012-07-17 · math.DG · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C4ROSHAXG2DJ7Y7Y2LEUGH6YGE}

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	2026-05-18T03:15:57.767432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1722e91c1736869fe3f8d2c9431fd83106f8ed82c24529123c0bc62b8ad962a5

Aliases

arxiv: 1207.4033 · arxiv_version: 1207.4033v3 · doi: 10.48550/arxiv.1207.4033 · pith_short_12: C4ROSHAXG2DJ · pith_short_16: C4ROSHAXG2DJ7Y7Y · pith_short_8: C4ROSHAX

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/C4ROSHAXG2DJ7Y7Y2LEUGH6YGE \
  | 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: 1722e91c1736869fe3f8d2c9431fd83106f8ed82c24529123c0bc62b8ad962a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f992a348a96f1f278248e3e94ab62011c010976e8d761cd87345d1af9bf01a1b",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-17T15:39:11Z",
    "title_canon_sha256": "1687e90b50495d05a3011aa8958cf089ca963986467a6a9469561695f6aae678"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4033",
    "kind": "arxiv",
    "version": 3
  }
}