Pith Number

pith:WXFAVZU6

pith:2011:WXFAVZU64I2JDWIXYOX6E4YDRR

not attested not anchored not stored refs pending

Minimal surfaces and mean curvature flow

Tobias H. Colding, William P. Minicozzi II

arxiv:1102.1411 v1 · 2011-02-07 · 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{WXFAVZU64I2JDWIXYOX6E4YDRR}

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	2026-05-18T02:22:39.939906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5ca0ae69ee23491d917c3afe273038c445197e246a684c9c4283dfdcdc9d843

Aliases

arxiv: 1102.1411 · arxiv_version: 1102.1411v1 · doi: 10.48550/arxiv.1102.1411 · pith_short_12: WXFAVZU64I2J · pith_short_16: WXFAVZU64I2JDWIX · pith_short_8: WXFAVZU6

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/WXFAVZU64I2JDWIXYOX6E4YDRR \
  | 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: b5ca0ae69ee23491d917c3afe273038c445197e246a684c9c4283dfdcdc9d843

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "415d0766d4b945f79573b06e3cc5652dde11b8cb9206b18f0a81c4acf5b3a10d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-02-07T20:44:39Z",
    "title_canon_sha256": "9bc85ce4cc59ed66a1dd748d1dac91e604830c5c57e6d568fd5401a4cb60c307"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1411",
    "kind": "arxiv",
    "version": 1
  }
}