Pith Number

pith:KZ3HBOJ7

pith:2013:KZ3HBOJ7HSX5D5KHWWFCPANJLI

not attested not anchored not stored refs pending

Evolution of contractions by mean curvature flow

Andreas Savas-Halilaj, Knut Smoczyk

arxiv:1312.0783 v1 · 2013-12-03 · 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{KZ3HBOJ7HSX5D5KHWWFCPANJLI}

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	2026-05-18T03:05:36.721306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

567670b93f3cafd1f547b58a2781a95a2c0bc118783ba0961008344a9affcbc9

Aliases

arxiv: 1312.0783 · arxiv_version: 1312.0783v1 · doi: 10.48550/arxiv.1312.0783 · pith_short_12: KZ3HBOJ7HSX5 · pith_short_16: KZ3HBOJ7HSX5D5KH · pith_short_8: KZ3HBOJ7

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/KZ3HBOJ7HSX5D5KHWWFCPANJLI \
  | 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: 567670b93f3cafd1f547b58a2781a95a2c0bc118783ba0961008344a9affcbc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dce5d1272188218cda0a82e01a891b593ce18994a28015a1d97621f18b56d0e6",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-03T11:51:28Z",
    "title_canon_sha256": "0ff381755fe0e696b64d5f422332261353ef1a52f9a75c3dfda02c6bfe193436"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0783",
    "kind": "arxiv",
    "version": 1
  }
}