Pith Number

pith:WQ5TS2GM

pith:2018:WQ5TS2GMIH7Z7FURVRNLCBKNXJ

not attested not anchored not stored refs pending

A survey on fractional variational calculus

Delfim F. M. Torres, Ricardo Almeida

arxiv:1806.05092 v1 · 2018-06-13 · 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{WQ5TS2GMIH7Z7FURVRNLCBKNXJ}

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	2026-05-18T00:01:14.882773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b43b3968cc41ff9f9691ac5ab1054dba47d1f0618e45e6a2946fc78007280dd4

Aliases

arxiv: 1806.05092 · arxiv_version: 1806.05092v1 · doi: 10.48550/arxiv.1806.05092 · pith_short_12: WQ5TS2GMIH7Z · pith_short_16: WQ5TS2GMIH7Z7FUR · pith_short_8: WQ5TS2GM

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/WQ5TS2GMIH7Z7FURVRNLCBKNXJ \
  | 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: b43b3968cc41ff9f9691ac5ab1054dba47d1f0618e45e6a2946fc78007280dd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7374952c3ad5cb67b591b466833d240519af01d69b1f788e926f10a42cbae50f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-06-13T14:44:06Z",
    "title_canon_sha256": "872bf4b754ff070f031ebd29bdab2fd006b6a50b4244b36c949c0897872a2cfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05092",
    "kind": "arxiv",
    "version": 1
  }
}