Pith Number

pith:ZW5HZWXL

pith:2013:ZW5HZWXLRC7BUKI7I4GJA2X7DE

not attested not anchored not stored refs pending

A discrete time method to the first variation of fractional order variational functionals

Delfim F. M. Torres, Ricardo Almeida, Shakoor Pooseh

arxiv:1305.1859 v1 · 2013-05-08 · math.OC · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZW5HZWXLRC7BUKI7I4GJA2X7DE}

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	2026-05-18T00:23:40.989831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdba7cdaeb88be1a291f470c906aff19133372448ec83d64fc3f58870017dbce

Aliases

arxiv: 1305.1859 · arxiv_version: 1305.1859v1 · doi: 10.48550/arxiv.1305.1859 · pith_short_12: ZW5HZWXLRC7B · pith_short_16: ZW5HZWXLRC7BUKI7 · pith_short_8: ZW5HZWXL

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/ZW5HZWXLRC7BUKI7I4GJA2X7DE \
  | 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: cdba7cdaeb88be1a291f470c906aff19133372448ec83d64fc3f58870017dbce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d27a25b9115b221d47efa0c2f75946c5ea8f701581588ae81c34eaa2168cd09",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-05-08T15:45:43Z",
    "title_canon_sha256": "0ff83e6531236b7ed49f321efa33dd63483a4fabfd7d69385d311fe7d1b0e105"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1859",
    "kind": "arxiv",
    "version": 1
  }
}