Pith Number

pith:5ZFK6YBI

pith:2013:5ZFK6YBIQPKUUQUVK6ZT6NI257

not attested not anchored not stored refs pending

Certification of inequalities involving transcendental functions: combining SDP and max-plus approximation

Benjamin Werner, St\'ephane Gaubert, Victor Magron, Xavier Allamigeon

arxiv:1307.7002 v1 · 2013-07-26 · 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{5ZFK6YBIQPKUUQUVK6ZT6NI257}

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	2026-05-18T03:17:25.548696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee4aaf602883d54a429557b33f351aefeab27b8079a4eb98b6ce4be2fcf04aad

Aliases

arxiv: 1307.7002 · arxiv_version: 1307.7002v1 · doi: 10.48550/arxiv.1307.7002 · pith_short_12: 5ZFK6YBIQPKU · pith_short_16: 5ZFK6YBIQPKUUQUV · pith_short_8: 5ZFK6YBI

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/5ZFK6YBIQPKUUQUVK6ZT6NI257 \
  | 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: ee4aaf602883d54a429557b33f351aefeab27b8079a4eb98b6ce4be2fcf04aad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d546b12da9e7dea6be6da9e42212666913d2169c6b68432e2503b1250802272",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-07-26T11:41:05Z",
    "title_canon_sha256": "c170146249569f91c37134c3b44cb0d0d97ef72a016de253b5eca7a89513909e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7002",
    "kind": "arxiv",
    "version": 1
  }
}