Pith Number

pith:PK75I5FW

pith:2012:PK75I5FWQERVB56EDPZSOJLOSY

not attested not anchored not stored refs pending

A Conformally Invariant Classification Theorem in Four Dimensions

Bing-Long Chen, Xi-Ping Zhu

arxiv:1206.5051 v3 · 2012-06-22 · 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{PK75I5FWQERVB56EDPZSOJLOSY}

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	2026-05-18T03:43:07.077977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7abfd474b6812350f7c41bf327256e96031411504d03f4a8ff31581b17da984c

Aliases

arxiv: 1206.5051 · arxiv_version: 1206.5051v3 · doi: 10.48550/arxiv.1206.5051 · pith_short_12: PK75I5FWQERV · pith_short_16: PK75I5FWQERVB56E · pith_short_8: PK75I5FW

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/PK75I5FWQERVB56EDPZSOJLOSY \
  | 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: 7abfd474b6812350f7c41bf327256e96031411504d03f4a8ff31581b17da984c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24ea3bdc517baf2b7e7e9eb54e11e7d4dd7d747a1dbb3384d9c2390c93144f45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-06-22T04:18:17Z",
    "title_canon_sha256": "1e5a41e1cd412666a9b33d685d2e8dc1d44381defd7f7a7fcdaade6dbbad1bc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5051",
    "kind": "arxiv",
    "version": 3
  }
}