Pith Number

pith:OMWTTR3Q

pith:2023:OMWTTR3QDFY56KVL3VOP7YKJLG

not attested not anchored not stored refs pending

The functional volume product under heat flow

Hiroshi Tsuji, Shohei Nakamura

arxiv:2401.00427 v2 · 2023-12-31 · math.FA · math.AP · math.CA · math.MG · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OMWTTR3QDFY56KVL3VOP7YKJLG}

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

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow

Receipt and verification

First computed	2026-07-05T07:58:25.971895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

732d39c7701971df2aabdd5cffe1495987bcdecbf217c0d44a9edfc9ed64fbd4

Aliases

arxiv: 2401.00427 · arxiv_version: 2401.00427v2 · doi: 10.48550/arxiv.2401.00427 · pith_short_12: OMWTTR3QDFY5 · pith_short_16: OMWTTR3QDFY56KVL · pith_short_8: OMWTTR3Q

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/OMWTTR3QDFY56KVL3VOP7YKJLG \
  | 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: 732d39c7701971df2aabdd5cffe1495987bcdecbf217c0d44a9edfc9ed64fbd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f34b42b1f1379d2f874af90581731f8a4ab29971d5828d514702f05309ed081",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA",
      "math.MG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-12-31T08:48:33Z",
    "title_canon_sha256": "af3b3da28943852f54e7e8e8d0410bc26dbcfc1b2589e3c68745c23568fd1b7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.00427",
    "kind": "arxiv",
    "version": 2
  }
}