Pith Number

pith:XBFLKDV7

pith:2017:XBFLKDV7FWJC3S7ZDUBDADMLPM

not attested not anchored not stored refs pending

Optimality conditions for fractional variational problems with free terminal time

Ricardo Almeida

arxiv:1702.00976 v1 · 2017-02-03 · 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{XBFLKDV7FWJC3S7ZDUBDADMLPM}

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	2026-05-18T00:51:29.258707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b84ab50ebf2d922dcbf91d02300d8b7b3e648155561bc8a55e3197a8bfbe1eff

Aliases

arxiv: 1702.00976 · arxiv_version: 1702.00976v1 · doi: 10.48550/arxiv.1702.00976 · pith_short_12: XBFLKDV7FWJC · pith_short_16: XBFLKDV7FWJC3S7Z · pith_short_8: XBFLKDV7

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/XBFLKDV7FWJC3S7ZDUBDADMLPM \
  | 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: b84ab50ebf2d922dcbf91d02300d8b7b3e648155561bc8a55e3197a8bfbe1eff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2db9fa2c785576f3e419588e5228055b93709860f3e7528b9f44ed1380da2b45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-02-03T11:41:44Z",
    "title_canon_sha256": "7c366f78140bdb504cce29fa392e10e38622fcb65d9d38bcca824df5895c519b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00976",
    "kind": "arxiv",
    "version": 1
  }
}