Pith Number

pith:YU5UE5PZ

pith:2024:YU5UE5PZVKYI6W4EUBRPBEKGCT

not attested not anchored not stored refs pending

A note on Huisken monotonicity-type formula for the mean curvature flow in a gradient shrinking extended Ricci soliton background

Hikaru Yamamoto, Jos\'e N.V. Gomes, Matheus Hudson

arxiv:2412.19939 v3 · 2024-12-27 · 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{YU5UE5PZVKYI6W4EUBRPBEKGCT}

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	2026-06-09T02:08:28.065113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c53b4275f9aab08f5b84a062f0914614cdd2001daad82fff5f0258faf2238611

Aliases

arxiv: 2412.19939 · arxiv_version: 2412.19939v3 · doi: 10.48550/arxiv.2412.19939 · pith_short_12: YU5UE5PZVKYI · pith_short_16: YU5UE5PZVKYI6W4E · pith_short_8: YU5UE5PZ

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/YU5UE5PZVKYI6W4EUBRPBEKGCT \
  | 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: c53b4275f9aab08f5b84a062f0914614cdd2001daad82fff5f0258faf2238611

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ddb9d61ac6772a0184303a26016805b96a76b93581e679b43048b66f73a3524",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-12-27T22:05:53Z",
    "title_canon_sha256": "2e91b2a46bb63ff655950aca88323daf4975b4e66f1c2e44a3806d0019c8eb05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19939",
    "kind": "arxiv",
    "version": 3
  }
}