Pith Number

pith:XG467SDM

pith:2017:XG467SDMGBK6OLMCG6UUHD3AIY

not attested not anchored not stored refs pending

Combined Fractional Variational Problems of Variable Order and Some Computational Aspects

Delfim F. M. Torres, Dina Tavares, Ricardo Almeida

arxiv:1704.06486 v1 · 2017-04-21 · 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{XG467SDMGBK6OLMCG6UUHD3AIY}

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	2026-05-18T00:18:05.349422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9b9efc86c3055e72d8237a9438f60462d32a4fbea6c3451f1421cc844af7bdc

Aliases

arxiv: 1704.06486 · arxiv_version: 1704.06486v1 · doi: 10.48550/arxiv.1704.06486 · pith_short_12: XG467SDMGBK6 · pith_short_16: XG467SDMGBK6OLMC · pith_short_8: XG467SDM

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/XG467SDMGBK6OLMCG6UUHD3AIY \
  | 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: b9b9efc86c3055e72d8237a9438f60462d32a4fbea6c3451f1421cc844af7bdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "defb8a9f4180d7e5eaafcbf6055ddbcb16ad9af0fcd243b4950bfb0709369867",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-04-21T11:29:56Z",
    "title_canon_sha256": "159748657dde02c6c358e2fee25044777058e26c8d1296ea59493a63fff237c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06486",
    "kind": "arxiv",
    "version": 1
  }
}