Pith Number

pith:L465HXDW

pith:2026:L465HXDWS4NBIMCWPDNF4SRQCD

not attested not anchored not stored refs pending

Energy integrals and asymmetric co-potentials for closed forms

Kaneharu Tsuchida, Kazuhiro Kuwae, Takumu Ooi, Toshihiro Uemura

arxiv:2607.00853 v1 · 2026-07-01 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L465HXDWS4NBIMCWPDNF4SRQCD}

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	2026-07-02T01:18:21.502949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f3dd3dc76971a14305678da5e4a3010df41ee3d1e724ad7aed05177986f90d3

Aliases

arxiv: 2607.00853 · arxiv_version: 2607.00853v1 · doi: 10.48550/arxiv.2607.00853 · pith_short_12: L465HXDWS4NB · pith_short_16: L465HXDWS4NBIMCW · pith_short_8: L465HXDW

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/L465HXDWS4NBIMCWPDNF4SRQCD \
  | 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: 5f3dd3dc76971a14305678da5e4a3010df41ee3d1e724ad7aed05177986f90d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75bc62c01a9a7a25b565ec6c72789458f001b97cc7d836aea7836f4bde285056",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-01T12:18:37Z",
    "title_canon_sha256": "427a24be883a103f8aa8b2337fe4991630c7a2d49433f066e89823d0a9b8d885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00853",
    "kind": "arxiv",
    "version": 1
  }
}