Pith Number

pith:CK52UYMO

pith:2025:CK52UYMOMMPPPCDBTPWVJRSSRC

not attested not anchored not stored refs pending

A Monotonicity Formula for the Extrinsic Biharmonic Map Heat Flow

Elena M\"ader-Baumdicker, Nils Neumann

arxiv:2504.06089 v1 · 2025-04-08 · 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{CK52UYMOMMPPPCDBTPWVJRSSRC}

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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

Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics

Receipt and verification

First computed	2026-07-05T10:46:15.287372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12bbaa618e631ef788619bed54c652889bb62ed93e71f110b78b1580d4df4991

Aliases

arxiv: 2504.06089 · arxiv_version: 2504.06089v1 · doi: 10.48550/arxiv.2504.06089 · pith_short_12: CK52UYMOMMPP · pith_short_16: CK52UYMOMMPPPCDB · pith_short_8: CK52UYMO

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/CK52UYMOMMPPPCDBTPWVJRSSRC \
  | 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: 12bbaa618e631ef788619bed54c652889bb62ed93e71f110b78b1580d4df4991

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2af219e987fe3609a3eb6418a10ee4a259ca21d2ddd420d5bbdc0d80ee25732a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-04-08T14:30:03Z",
    "title_canon_sha256": "af07bb859129a5eae63b096b466a80f2272159265db09f22cbad7db9c68058c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.06089",
    "kind": "arxiv",
    "version": 1
  }
}