Pith Number

pith:DVY5KCFC

pith:2025:DVY5KCFCX5JQEJRKWYACVHZVPO

not attested not anchored not stored refs pending

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow

Andrea Chiesa, Keisuke Takasao

arxiv:2505.23222 v1 · 2025-05-29 · 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{DVY5KCFCX5JQEJRKWYACVHZVPO}

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	2026-07-05T11:11:57.795018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d71d508a2bf5302262ab6002a9f357b951aa50f26fa9676e5758158ce0cbed7

Aliases

arxiv: 2505.23222 · arxiv_version: 2505.23222v1 · doi: 10.48550/arxiv.2505.23222 · pith_short_12: DVY5KCFCX5JQ · pith_short_16: DVY5KCFCX5JQEJRK · pith_short_8: DVY5KCFC

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/DVY5KCFCX5JQEJRKWYACVHZVPO \
  | 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: 1d71d508a2bf5302262ab6002a9f357b951aa50f26fa9676e5758158ce0cbed7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8295383c5aa7b7275cc9576798d5378916b307823a953d414de436b7a67f4bc8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-29T08:08:15Z",
    "title_canon_sha256": "d24af7614d922abb01c129e2cd538af9d8f182573f6a8904626cad99b61e9f21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.23222",
    "kind": "arxiv",
    "version": 1
  }
}