Pith Number

pith:A66C2G4X

pith:2013:A66C2G4X7KVXJAQJX7HC3CB3E6

not attested not anchored not stored refs pending

Homotopy of area decreasing maps by mean curvature flow

Andreas Savas-Halilaj, Knut Smoczyk

arxiv:1302.0748 v1 · 2013-02-04 · 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{A66C2G4X7KVXJAQJX7HC3CB3E6}

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	2026-05-18T03:34:36.439685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07bc2d1b97faab748209bfce2d883b27963822088062a757ec9361504eea1c69

Aliases

arxiv: 1302.0748 · arxiv_version: 1302.0748v1 · doi: 10.48550/arxiv.1302.0748 · pith_short_12: A66C2G4X7KVX · pith_short_16: A66C2G4X7KVXJAQJ · pith_short_8: A66C2G4X

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/A66C2G4X7KVXJAQJX7HC3CB3E6 \
  | 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: 07bc2d1b97faab748209bfce2d883b27963822088062a757ec9361504eea1c69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faec733ffb425b802fbcd3ed2446047aff09acf88ac8e5ffc66c646c69103a25",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-04T16:37:12Z",
    "title_canon_sha256": "c09d6755c04d866b2364fdeab19094a1c6e7ad319646156221160ccd31cfe54b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0748",
    "kind": "arxiv",
    "version": 1
  }
}