Pith Number

pith:T33QKNGF

pith:2025:T33QKNGFVVDMLZCWU5TTCFTLOV

not attested not anchored not stored refs pending

Variational principles using a non-symmetric non-triangular distance

Natthaya Boonyam, Parin Chaipunya, Poom Kumam

arxiv:2504.20575 v1 · 2025-04-29 · math.FA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T33QKNGFVVDMLZCWU5TTCFTLOV}

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	2026-07-05T10:55:45.032755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ef70534c5ad46c5e456a76731166b7554b8b7f4359743e68dfdbec3f678e951

Aliases

arxiv: 2504.20575 · arxiv_version: 2504.20575v1 · doi: 10.48550/arxiv.2504.20575 · pith_short_12: T33QKNGFVVDM · pith_short_16: T33QKNGFVVDMLZCW · pith_short_8: T33QKNGF

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/T33QKNGFVVDMLZCWU5TTCFTLOV \
  | 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: 9ef70534c5ad46c5e456a76731166b7554b8b7f4359743e68dfdbec3f678e951

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3d77fcf4b048e692e48c2374c4937c1ef9d33be5dded82b99a5e1f2ff73c1f0",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-04-29T09:28:53Z",
    "title_canon_sha256": "8a22ec84b39404f2822e83f1347aff1238c0fd974529f3c4689e81faf8cb708a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.20575",
    "kind": "arxiv",
    "version": 1
  }
}