Pith Number

pith:AQ4NFWZY

pith:2017:AQ4NFWZYSRWLO3LC4B3UMZZBHK

not attested not anchored not stored refs pending

Minimizing movements for mean curvature flow of partitions

Giovanni Bellettini, Shokhrukh Yusufovich Kholmatov

arxiv:1702.01322 v2 · 2017-02-04 · 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{AQ4NFWZYSRWLO3LC4B3UMZZBHK}

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	2026-05-18T00:15:52.687114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0438d2db38946cb76d62e0774667213a8bf6c13751bae8b4a5da678c0aace2f6

Aliases

arxiv: 1702.01322 · arxiv_version: 1702.01322v2 · doi: 10.48550/arxiv.1702.01322 · pith_short_12: AQ4NFWZYSRWL · pith_short_16: AQ4NFWZYSRWLO3LC · pith_short_8: AQ4NFWZY

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/AQ4NFWZYSRWLO3LC4B3UMZZBHK \
  | 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: 0438d2db38946cb76d62e0774667213a8bf6c13751bae8b4a5da678c0aace2f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb51ad4bc9f8bf1be0e0d1975e4900b023649b4f21dddfdc3f0990be3b06ef82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-04T18:36:39Z",
    "title_canon_sha256": "17257611e9baa751810e9974c100ea9b8a8dbd18ac021301c47c723cd9415a1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01322",
    "kind": "arxiv",
    "version": 2
  }
}