Pith Number

pith:KAFOLZUM

pith:2002:KAFOLZUMKGRDW7UYO7BIZHC5RO

not attested not anchored not stored refs pending

Mean Curvature Flows of Lagrangian Submanifolds with Convex Potentials

Knut Smoczyk, Mu-Tao Wang

arxiv:math/0209349 v2 · 2002-09-25 · 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{KAFOLZUMKGRDW7UYO7BIZHC5RO}

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	2026-05-18T01:05:29.369019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

500ae5e68c51a23b7e9877c28c9c5d8b93e07bdfd38169267af6c5f7091a924e

Aliases

arxiv: math/0209349 · arxiv_version: math/0209349v2 · doi: 10.48550/arxiv.math/0209349 · pith_short_12: KAFOLZUMKGRD · pith_short_16: KAFOLZUMKGRDW7UY · pith_short_8: KAFOLZUM

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/KAFOLZUMKGRDW7UYO7BIZHC5RO \
  | 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: 500ae5e68c51a23b7e9877c28c9c5d8b93e07bdfd38169267af6c5f7091a924e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e6acd9ed9ca622123f11b5856d111b2afdcaeaa45784e1c2704fb072bc8c088",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2002-09-25T18:44:08Z",
    "title_canon_sha256": "b1d7b4b2b03851e9c8060e1945db627543b4f0693aff95a3432b36a49b62e48e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0209349",
    "kind": "arxiv",
    "version": 2
  }
}