Pith Number

pith:4MCGDEXW

pith:2017:4MCGDEXWGX3XVO4E6X5JCBEQOB

not attested not anchored not stored refs pending

A Liouville Theorem for Mean Curvature Flow

Kevin Sonnanburg

arxiv:1711.02261 v1 · 2017-11-07 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MCGDEXWGX3XVO4E6X5JCBEQOB}

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	2026-05-18T00:31:08.397163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3046192f635f77abb84f5fa910490706b82ec582586606f7c1f9682280c2b1a

Aliases

arxiv: 1711.02261 · arxiv_version: 1711.02261v1 · doi: 10.48550/arxiv.1711.02261 · pith_short_12: 4MCGDEXWGX3X · pith_short_16: 4MCGDEXWGX3XVO4E · pith_short_8: 4MCGDEXW

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/4MCGDEXWGX3XVO4E6X5JCBEQOB \
  | 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: e3046192f635f77abb84f5fa910490706b82ec582586606f7c1f9682280c2b1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98608f1192791812afbae8ebfafa7a9d3ea5103e7a9b049af11ab8bdcc53c727",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-11-07T02:23:46Z",
    "title_canon_sha256": "6bc908f07e0469d6f533d4cdc015d66eb83fc755a3e4afd2cea39fbbe93d0012"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02261",
    "kind": "arxiv",
    "version": 1
  }
}