Pith Number

pith:3DO6QSVP

pith:2013:3DO6QSVPBTMMKT3AYUQF4OUQRP

not attested not anchored not stored refs pending

Strong duality in conic linear programming: facial reduction and extended duals

Gabor Pataki

arxiv:1301.7717 v3 · 2013-01-31 · 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{3DO6QSVPBTMMKT3AYUQF4OUQRP}

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	2026-05-18T03:18:06.150308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8dde84aaf0cd8c54f60c5205e3a908bca72b2f1c0f104eaa7cdbd3c39113538

Aliases

arxiv: 1301.7717 · arxiv_version: 1301.7717v3 · doi: 10.48550/arxiv.1301.7717 · pith_short_12: 3DO6QSVPBTMM · pith_short_16: 3DO6QSVPBTMMKT3A · pith_short_8: 3DO6QSVP

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/3DO6QSVPBTMMKT3AYUQF4OUQRP \
  | 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: d8dde84aaf0cd8c54f60c5205e3a908bca72b2f1c0f104eaa7cdbd3c39113538

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63f64cad7c09a54c85a9e3c180a493c401d429ffbc31b09198a58dfaa89e3f17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-01-31T19:06:10Z",
    "title_canon_sha256": "d893b2e5a81f2220af1a0c640bcc6fa2d52b2fb170ce7ddf121491d68fdbb29d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7717",
    "kind": "arxiv",
    "version": 3
  }
}