Pith Number

pith:VCK3LNML

pith:2009:VCK3LNMLEGODLIHU5RDOLARAJX

not attested not anchored not stored refs pending

Ricci flow and the determinant of the Laplacian on non-compact surfaces

Clara L. Aldana, Fr\'ed\'eric Rochon, Pierre Albin

arxiv:0909.0807 v3 · 2009-09-04 · math.DG · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCK3LNMLEGODLIHU5RDOLARAJX}

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	2026-05-18T03:29:28.146706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a895b5b58b219c35a0f4ec46e582204de533aa61cb01afe689a97826ad6c99b7

Aliases

arxiv: 0909.0807 · arxiv_version: 0909.0807v3 · doi: 10.48550/arxiv.0909.0807 · pith_short_12: VCK3LNMLEGOD · pith_short_16: VCK3LNMLEGODLIHU · pith_short_8: VCK3LNML

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/VCK3LNMLEGODLIHU5RDOLARAJX \
  | 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: a895b5b58b219c35a0f4ec46e582204de533aa61cb01afe689a97826ad6c99b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "277c27932b77be989b6affff01df426f6ed29758b353ca5de37842eeda31add5",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-09-04T04:26:14Z",
    "title_canon_sha256": "1b3ae16537862c33d9cb78c09637104e45c1bb0d472250ead8bd2b4141dd8dc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0807",
    "kind": "arxiv",
    "version": 3
  }
}