Pith Number

pith:ZJBNFEFM

pith:2014:ZJBNFEFMMK56XOBR7MGXQUG24U

not attested not anchored not stored refs pending

Sharp inequalities over the unit polydisc

Marijan Markovic

arxiv:1401.5120 v3 · 2014-01-20 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJBNFEFMMK56XOBR7MGXQUG24U}

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	2026-05-18T02:28:54.141884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca42d290ac62bbebb831fb0d7850dae516391b93f9cc5a9a505e9da64f30c954

Aliases

arxiv: 1401.5120 · arxiv_version: 1401.5120v3 · doi: 10.48550/arxiv.1401.5120 · pith_short_12: ZJBNFEFMMK56 · pith_short_16: ZJBNFEFMMK56XOBR · pith_short_8: ZJBNFEFM

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/ZJBNFEFMMK56XOBR7MGXQUG24U \
  | 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: ca42d290ac62bbebb831fb0d7850dae516391b93f9cc5a9a505e9da64f30c954

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "484c60c958861f8d030cc70113a4cebf542277b3ad1941a9d7a5411ec084f80d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-01-20T23:07:38Z",
    "title_canon_sha256": "5ab9acc42f3e65df6f3158ccce8905304338c7a7913e2bf6bac2a34a094061b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5120",
    "kind": "arxiv",
    "version": 3
  }
}