Pith Number

pith:FB7TXEW2

pith:2025:FB7TXEW2WIAOPCUYNVYI7SSEDL

not attested not anchored not stored refs pending

Uniform estimates: from Yau to Kolodziej

Chinh H. Lu, Vincent Guedj

arxiv:2502.02313 v2 · 2025-02-04 · math.DG · math.AP · 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{FB7TXEW2WIAOPCUYNVYI7SSEDL}

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	2026-07-05T10:16:20.217896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

287f3b92dab200e78a986d708fca441aef6e3e1abbd60acc8ffd29059d8b1545

Aliases

arxiv: 2502.02313 · arxiv_version: 2502.02313v2 · doi: 10.48550/arxiv.2502.02313 · pith_short_12: FB7TXEW2WIAO · pith_short_16: FB7TXEW2WIAOPCUY · pith_short_8: FB7TXEW2

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/FB7TXEW2WIAOPCUYNVYI7SSEDL \
  | 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: 287f3b92dab200e78a986d708fca441aef6e3e1abbd60acc8ffd29059d8b1545

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88df7a22472ce1de126baca934c357642ad927f65998a415dc4bd520be3a9a63",
    "cross_cats_sorted": [
      "math.AP",
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-02-04T13:32:01Z",
    "title_canon_sha256": "aa52e69adf8621f2279c1a57d4d9cba508a565d46c82578d66929ae60d1fe9a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.02313",
    "kind": "arxiv",
    "version": 2
  }
}