Pith Number

pith:FJ4S6KVA

pith:2021:FJ4S6KVABG72SUMX63VUFLCX2T

not attested not anchored not stored refs pending

Type II smoothing in mean curvature flow

Natasa Sesum, Panagiota Daskalopoulos, Sigurd Angenent

arxiv:2108.08725 v1 · 2021-08-19 · 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{FJ4S6KVABG72SUMX63VUFLCX2T}

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.

Cited by

1 paper in Pith

Singularities of mean curvature flow with bounded mean curvature and Morse index

Receipt and verification

First computed	2026-06-03T14:05:44.087891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a792f2aa009bfa95197f6eb42ac57d4fb4ffb32e28075bd1a839e3be8a7ca7c

Aliases

arxiv: 2108.08725 · arxiv_version: 2108.08725v1 · doi: 10.48550/arxiv.2108.08725 · pith_short_12: FJ4S6KVABG72 · pith_short_16: FJ4S6KVABG72SUMX · pith_short_8: FJ4S6KVA

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/FJ4S6KVABG72SUMX63VUFLCX2T \
  | 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: 2a792f2aa009bfa95197f6eb42ac57d4fb4ffb32e28075bd1a839e3be8a7ca7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "addc6be3169f6ac6892ad25f2685330d03f7b194dc143df77eaa3481595127af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-08-19T14:48:23Z",
    "title_canon_sha256": "c64ba6bf5721933a2c6c575ac9e5f711b8c717b5129f5c819f040b53b4343225"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.08725",
    "kind": "arxiv",
    "version": 1
  }
}