Pith Number

pith:PDZYQP6F

pith:2024:PDZYQP6FZ5YBOOVABCD2FYZ32U

not attested not anchored not stored refs pending

A Priori Estimates for Singularities of the Lagrangian Mean Curvature Flow with Supercritical Phase

Arunima Bhattacharya, Jeremy Wall

arxiv:2407.12756 v2 · 2024-07-17 · math.AP · 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{PDZYQP6FZ5YBOOVABCD2FYZ32U}

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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

Removing singularities for fully nonlinear PDEs

Receipt and verification

First computed	2026-07-05T10:53:11.003944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78f3883fc5cf70173aa00887a2e33bd504c05f5070f823be8c20d367c06c3ca2

Aliases

arxiv: 2407.12756 · arxiv_version: 2407.12756v2 · doi: 10.48550/arxiv.2407.12756 · pith_short_12: PDZYQP6FZ5YB · pith_short_16: PDZYQP6FZ5YBOOVA · pith_short_8: PDZYQP6F

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/PDZYQP6FZ5YBOOVABCD2FYZ32U \
  | 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: 78f3883fc5cf70173aa00887a2e33bd504c05f5070f823be8c20d367c06c3ca2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56ba016caa914b3030f4c50579d112b6da85bfd206cf8178649c0a7f1555aa54",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-07-17T17:30:28Z",
    "title_canon_sha256": "fb3ada026901b60ec32734d142948c90bf0e48293bee122c9a6416669935446a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.12756",
    "kind": "arxiv",
    "version": 2
  }
}