Pith Number

pith:5SXV6R6B

pith:2010:5SXV6R6BCWCKRNOIZNYX3TVOTR

not attested not anchored not stored refs pending

Leitmann's direct method for fractional optimization problems

Delfim F. M. Torres, Ricardo Almeida

arxiv:1003.3088 v1 · 2010-03-16 · 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{5SXV6R6BCWCKRNOIZNYX3TVOTR}

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	2026-05-18T04:40:10.319349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecaf5f47c11584a8b5c8cb717dceae9c622066534cb97e778f3e3a443907be46

Aliases

arxiv: 1003.3088 · arxiv_version: 1003.3088v1 · doi: 10.48550/arxiv.1003.3088 · pith_short_12: 5SXV6R6BCWCK · pith_short_16: 5SXV6R6BCWCKRNOI · pith_short_8: 5SXV6R6B

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/5SXV6R6BCWCKRNOIZNYX3TVOTR \
  | 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: ecaf5f47c11584a8b5c8cb717dceae9c622066534cb97e778f3e3a443907be46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "812b43c22a2f6d1523406bc13b1507c6cb666d5d10f86ca69aa6c70d37e89fa9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-03-16T07:15:37Z",
    "title_canon_sha256": "f4d220bc86ce5a1e4195f28110420a55c2c4e7ca18a6aa0075f0d5cfcfcebe6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3088",
    "kind": "arxiv",
    "version": 1
  }
}