Pith Number

pith:2COIAJNG

pith:2016:2COIAJNGNHYI5COFVSCBEPETF5

not attested not anchored not stored refs pending

A proof of the Kazdan-Warner identity via the Minkowski spacetime

Pengyu Le

arxiv:1602.02060 v1 · 2016-02-05 · 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{2COIAJNGNHYI5COFVSCBEPETF5}

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	2026-05-18T01:21:14.639048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d09c8025a669f08e89c5ac84123c932f6e78edcc6295e614cab4e852649be595

Aliases

arxiv: 1602.02060 · arxiv_version: 1602.02060v1 · doi: 10.48550/arxiv.1602.02060 · pith_short_12: 2COIAJNGNHYI · pith_short_16: 2COIAJNGNHYI5COF · pith_short_8: 2COIAJNG

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/2COIAJNGNHYI5COFVSCBEPETF5 \
  | 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: d09c8025a669f08e89c5ac84123c932f6e78edcc6295e614cab4e852649be595

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30e722c3e1da07fae7e4ee9fd5030c6e36985e0c9ec6f72584edd2ee0b96edcd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-02-05T15:25:19Z",
    "title_canon_sha256": "01a7c64544484eb207b6887479ce5c7181ebec0d1277ad721b1064b0f12305a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02060",
    "kind": "arxiv",
    "version": 1
  }
}