Pith Number

pith:KOSK4PMO

pith:2013:KOSK4PMOGPC2P3OBITSAARIDJC

not attested not anchored not stored refs pending

Removable singularities of the CscK metric

Yu Zeng

arxiv:1309.0180 v2 · 2013-09-01 · 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{KOSK4PMOGPC2P3OBITSAARIDJC}

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	2026-05-18T00:51:30.779603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53a4ae3d8e33c5a7edc144e4004503488bbd7b5b594aa48eb804c76628889d01

Aliases

arxiv: 1309.0180 · arxiv_version: 1309.0180v2 · doi: 10.48550/arxiv.1309.0180 · pith_short_12: KOSK4PMOGPC2 · pith_short_16: KOSK4PMOGPC2P3OB · pith_short_8: KOSK4PMO

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/KOSK4PMOGPC2P3OBITSAARIDJC \
  | 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: 53a4ae3d8e33c5a7edc144e4004503488bbd7b5b594aa48eb804c76628889d01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cef7b0601e4676f2f937f16ece0f0b881075d8bb404c1a7bda1cf883a475875d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-09-01T04:51:38Z",
    "title_canon_sha256": "b5e0a7a14b9e1d0ea62b31b34338d30e695b93ca56a00cb742ed5607cf947479"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0180",
    "kind": "arxiv",
    "version": 2
  }
}