Pith Number

pith:JGLWTJ2V

pith:2026:JGLWTJ2V3DID7YXGO3OCMF2TUY

not attested not anchored not stored refs pending

Continuous local potential functionals and the Dinh-Sibony product

Taeyong Ahn

arxiv:2607.25657 v1 · 2026-07-28 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JGLWTJ2V3DID7YXGO3OCMF2TUY}

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	2026-07-29T01:25:55.175097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

499769a755d8d03fe2e676dc261753a633ce83facff333c3cb0e7d1635f3c1c1

Aliases

arxiv: 2607.25657 · arxiv_version: 2607.25657v1 · doi: 10.48550/arxiv.2607.25657 · pith_short_12: JGLWTJ2V3DID · pith_short_16: JGLWTJ2V3DID7YXG · pith_short_8: JGLWTJ2V

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/JGLWTJ2V3DID7YXGO3OCMF2TUY \
  | 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: 499769a755d8d03fe2e676dc261753a633ce83facff333c3cb0e7d1635f3c1c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d64cc43cf7aa806f1f016ed8c670e6da54c9ba99f572ee18496a0951a960e45a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2026-07-28T12:43:35Z",
    "title_canon_sha256": "f70d077bfb579470457543a8c809610c51ffb316e7885dbb74f9fc4880303bbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25657",
    "kind": "arxiv",
    "version": 1
  }
}