Pith Number

pith:QSSSSIOK

pith:2017:QSSSSIOK6HRSRF6RREE4SV7QOB

not attested not anchored not stored refs pending

Nabla Euler -Lagrange equations in discrete fractional variational calculus within Riemann and Caputo

Thabet Abdeljawad

arxiv:1703.06751 v1 · 2017-03-10 · 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{QSSSSIOK6HRSRF6RREE4SV7QOB}

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	2026-05-18T00:48:21.838782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84a52921caf1e32897d18909c957f07054580b7eb4c5036bfe9ce6b7a4a2c78f

Aliases

arxiv: 1703.06751 · arxiv_version: 1703.06751v1 · doi: 10.48550/arxiv.1703.06751 · pith_short_12: QSSSSIOK6HRS · pith_short_16: QSSSSIOK6HRSRF6R · pith_short_8: QSSSSIOK

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/QSSSSIOK6HRSRF6RREE4SV7QOB \
  | 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: 84a52921caf1e32897d18909c957f07054580b7eb4c5036bfe9ce6b7a4a2c78f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e48e529c64f067bb63fce04649d09cfe3d428457a99b4f6ef95a05404ae761f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-03-10T10:23:00Z",
    "title_canon_sha256": "a2cf1611d39ae5ffd6e07dbd898cc987baea5aa679be7e0552dfbe3c558f9a14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06751",
    "kind": "arxiv",
    "version": 1
  }
}