Pith Number

pith:ZLFUYYWO

pith:2013:ZLFUYYWONDT54KHRCN3B6L7XI4

not attested not anchored not stored refs pending

Blow-up of the mean curvature at the first singular time of the mean curvature flow

Longzhi Lin, Natasa Sesum

arxiv:1302.1133 v1 · 2013-02-05 · 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{ZLFUYYWONDT54KHRCN3B6L7XI4}

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	2026-05-18T00:13:14.097794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cacb4c62ce68e7de28f113761f2ff7470ab78a687bebb1a9609d6ebc76d2f076

Aliases

arxiv: 1302.1133 · arxiv_version: 1302.1133v1 · doi: 10.48550/arxiv.1302.1133 · pith_short_12: ZLFUYYWONDT5 · pith_short_16: ZLFUYYWONDT54KHR · pith_short_8: ZLFUYYWO

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/ZLFUYYWONDT54KHRCN3B6L7XI4 \
  | 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: cacb4c62ce68e7de28f113761f2ff7470ab78a687bebb1a9609d6ebc76d2f076

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04154c9f13193fe56c6e9d863b21cd17e679ac7a0e0b1d0f1e5a90e36e3e4d44",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-05T17:54:46Z",
    "title_canon_sha256": "ee7e10ae9e5b985411d0534480458d258d1ad7f64a618fa086c52f680ee9eba8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1133",
    "kind": "arxiv",
    "version": 1
  }
}