Pith Number

pith:W4ATLOUI

pith:2016:W4ATLOUI4GRTLNI56CSBRXDOX2

not attested not anchored not stored refs pending

Constrained fractional variational problems of variable order

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

arxiv:1606.07512 v1 · 2016-06-24 · 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{W4ATLOUI4GRTLNI56CSBRXDOX2}

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	2026-05-18T00:52:50.055277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b70135ba88e1a335b51df0a418dc6ebe8cc1927a4691dec070f67bfd4f039aca

Aliases

arxiv: 1606.07512 · arxiv_version: 1606.07512v1 · doi: 10.48550/arxiv.1606.07512 · pith_short_12: W4ATLOUI4GRT · pith_short_16: W4ATLOUI4GRTLNI5 · pith_short_8: W4ATLOUI

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/W4ATLOUI4GRTLNI56CSBRXDOX2 \
  | 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: b70135ba88e1a335b51df0a418dc6ebe8cc1927a4691dec070f67bfd4f039aca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d61b62b1490477286b22acae8a2e10be4e4af6af4ab414dde29082ba90e8e308",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-06-24T00:09:54Z",
    "title_canon_sha256": "eb12e26f8ac9b9724eff1dfce8ebcd29cc4506ea6a05f92c005c7f2894c9dd71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07512",
    "kind": "arxiv",
    "version": 1
  }
}