Pith Number

pith:ILR4UBY7

pith:2015:ILR4UBY7SAIEM6426OG57BGP3B

not attested not anchored not stored refs pending

Finite time collapsing of the K\"ahler-Ricci flow on threefolds

Valentino Tosatti, Yuguang Zhang

arxiv:1507.08397 v2 · 2015-07-30 · 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{ILR4UBY7SAIEM6426OG57BGP3B}

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	2026-05-18T00:19:09.202868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42e3ca071f9010467b9af38ddf84cfd86b37300c74cab041fd9d30f8e1b94343

Aliases

arxiv: 1507.08397 · arxiv_version: 1507.08397v2 · doi: 10.48550/arxiv.1507.08397 · pith_short_12: ILR4UBY7SAIE · pith_short_16: ILR4UBY7SAIEM642 · pith_short_8: ILR4UBY7

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/ILR4UBY7SAIEM6426OG57BGP3B \
  | 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: 42e3ca071f9010467b9af38ddf84cfd86b37300c74cab041fd9d30f8e1b94343

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "871d2695d04a3a0644d37da8534978930732d78a988aa09313312561bc15fe2f",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-07-30T06:48:45Z",
    "title_canon_sha256": "eb8f3ee37ff25be30ab939bf3a12c216673f2195648fc67c4a9b7afc8b65aa73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08397",
    "kind": "arxiv",
    "version": 2
  }
}