Pith Number

pith:KJRUDS4S

pith:2011:KJRUDS4SAE7WWGVIYVE6MIBZ47

not attested not anchored not stored refs pending

Fractional variational calculus for nondifferentiable functions

Delfim F. M. Torres, Ricardo Almeida

arxiv:1103.5406 v1 · 2011-03-28 · 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{KJRUDS4SAE7WWGVIYVE6MIBZ47}

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	2026-05-18T04:22:39.746364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

526341cb92013f6b1aa8c549e62039e7d763fd82235838dcebdb6f07e8a67d4b

Aliases

arxiv: 1103.5406 · arxiv_version: 1103.5406v1 · doi: 10.48550/arxiv.1103.5406 · pith_short_12: KJRUDS4SAE7W · pith_short_16: KJRUDS4SAE7WWGVI · pith_short_8: KJRUDS4S

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/KJRUDS4SAE7WWGVIYVE6MIBZ47 \
  | 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: 526341cb92013f6b1aa8c549e62039e7d763fd82235838dcebdb6f07e8a67d4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53d8647e5bb97fb54e59c706c88a8199ab4f9842544ef15eed9ed835ab0b5b57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-03-28T16:28:12Z",
    "title_canon_sha256": "d254b679d436dc38c6930ca99a64b2ee271c5c01d6194dc3f9e6a2b90e03541c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5406",
    "kind": "arxiv",
    "version": 1
  }
}