Pith Number

pith:RGL7GYVN

pith:2011:RGL7GYVNKEGLQS5MHNTKEHF4WK

not attested not anchored not stored refs pending

Higher-order Hahn's quantum variational calculus

Artur M. C. Brito da Cruz, Delfim F. M. Torres, Natalia Martins

arxiv:1101.3653 v1 · 2011-01-19 · math.OC · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RGL7GYVNKEGLQS5MHNTKEHF4WK}

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	2026-05-18T04:08:34.786989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8997f362ad510cb84bac3b66a21cbcb2ac13829c078573a8cee91543cefc9503

Aliases

arxiv: 1101.3653 · arxiv_version: 1101.3653v1 · doi: 10.48550/arxiv.1101.3653 · pith_short_12: RGL7GYVNKEGL · pith_short_16: RGL7GYVNKEGLQS5M · pith_short_8: RGL7GYVN

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/RGL7GYVNKEGLQS5MHNTKEHF4WK \
  | 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: 8997f362ad510cb84bac3b66a21cbcb2ac13829c078573a8cee91543cefc9503

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cd46803f251e3ef742e7b9cb093fb0a567a7471ee1a438ac3b189617bbc8be3",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-01-19T10:21:46Z",
    "title_canon_sha256": "818bf32c414e62a1675528f4d352a653b649ffdfb39d0ae081b03811ab5b4061"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3653",
    "kind": "arxiv",
    "version": 1
  }
}