Pith Number

pith:FNSK7YMK

pith:2013:FNSK7YMKHXVLSYSNFVAUZKIU4M

not attested not anchored not stored refs pending

Rigidity of generic singularities of mean curvature flow

Tobias Holck Colding, Tom Ilmanen, William P. Minicozzi II

arxiv:1304.6356 v2 · 2013-04-23 · math.DG · math.AP · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNSK7YMKHXVLSYSNFVAUZKIU4M}

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	2026-05-18T02:27:19.088008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b64afe18a3deab9624d2d414ca914e32b7ac518da9dec689ae38febcb17da36

Aliases

arxiv: 1304.6356 · arxiv_version: 1304.6356v2 · doi: 10.48550/arxiv.1304.6356 · pith_short_12: FNSK7YMKHXVL · pith_short_16: FNSK7YMKHXVLSYSN · pith_short_8: FNSK7YMK

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/FNSK7YMKHXVLSYSNFVAUZKIU4M \
  | 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: 2b64afe18a3deab9624d2d414ca914e32b7ac518da9dec689ae38febcb17da36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62d4598751eeeaa2a5269313fe82026058399f3b71966adfc172ba9af9827c8c",
    "cross_cats_sorted": [
      "math.AP",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-04-23T17:28:17Z",
    "title_canon_sha256": "856c4a11f2001dc44560ce30784f1583f1b7242761adae3870d91a2f6736e006"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6356",
    "kind": "arxiv",
    "version": 2
  }
}