Pith Number

pith:BJOZFZVJ

pith:2013:BJOZFZVJXAQVOJ3FIF5YIBVYK2

not attested not anchored not stored refs pending

Localizing vector optimization problems with application to welfare economics

Amos Uderzo

arxiv:1306.5139 v1 · 2013-06-21 · 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{BJOZFZVJXAQVOJ3FIF5YIBVYK2}

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	2026-05-18T03:20:19.625474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a5d92e6a9b821572765417b8406b8569655445b92dd705d0c30071c7f0fe500

Aliases

arxiv: 1306.5139 · arxiv_version: 1306.5139v1 · doi: 10.48550/arxiv.1306.5139 · pith_short_12: BJOZFZVJXAQV · pith_short_16: BJOZFZVJXAQVOJ3F · pith_short_8: BJOZFZVJ

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/BJOZFZVJXAQVOJ3FIF5YIBVYK2 \
  | 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: 0a5d92e6a9b821572765417b8406b8569655445b92dd705d0c30071c7f0fe500

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c4fdd259ef662b50cc6ffcb25036594c48365c745ec4da1b9212bf250eb56b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-06-21T13:45:37Z",
    "title_canon_sha256": "7b9ff09e97c8875fbe201fc020fe4154d41a68639ac72d9e16659c8bb35a8b8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5139",
    "kind": "arxiv",
    "version": 1
  }
}