Pith Number

pith:F2KIMDEF

pith:2021:F2KIMDEFNLRWVXHZTLL7CZOPV7

not attested not anchored not stored refs pending

Mean curvature flow with generic low-entropy initial data

Christos Mantoulidis, Felix Schulze, Kyeongsu Choi, Otis Chodosh

arxiv:2102.11978 v3 · 2021-02-23 · 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{F2KIMDEFNLRWVXHZTLL7CZOPV7}

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	2026-07-05T06:16:44.551594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e94860c856ae36adcf99ad7f165cfaff00f44d414dc3272ef0878c5157cecf2

Aliases

arxiv: 2102.11978 · arxiv_version: 2102.11978v3 · doi: 10.48550/arxiv.2102.11978 · pith_short_12: F2KIMDEFNLRW · pith_short_16: F2KIMDEFNLRWVXHZ · pith_short_8: F2KIMDEF

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/F2KIMDEFNLRWVXHZTLL7CZOPV7 \
  | 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: 2e94860c856ae36adcf99ad7f165cfaff00f44d414dc3272ef0878c5157cecf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c42f1c700f49d26837f569a5ffb11a4d37e1c5815d1182b12c57c92ff6e5ee5d",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-02-23T23:07:11Z",
    "title_canon_sha256": "aa5abea26423d3d163a4128e932492001541c9a2f6b61406ede999098fea062e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.11978",
    "kind": "arxiv",
    "version": 3
  }
}