Pith Number

pith:ZQO4OJ3T

pith:2014:ZQO4OJ3TAGFUO6SWJTZH2E3RK6

not attested not anchored not stored refs pending

Linial's Lower Bound Made Easy

Juhana Laurinharju, Jukka Suomela

arxiv:1402.2552 v1 · 2014-02-11 · cs.DC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQO4OJ3TAGFUO6SWJTZH2E3RK6}

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	2026-05-18T02:59:19.315881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc1dc72773018b477a564cf27d137157aa45791e5aaaee66cf38739409464cb0

Aliases

arxiv: 1402.2552 · arxiv_version: 1402.2552v1 · doi: 10.48550/arxiv.1402.2552 · pith_short_12: ZQO4OJ3TAGFU · pith_short_16: ZQO4OJ3TAGFUO6SW · pith_short_8: ZQO4OJ3T

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/ZQO4OJ3TAGFUO6SWJTZH2E3RK6 \
  | 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: cc1dc72773018b477a564cf27d137157aa45791e5aaaee66cf38739409464cb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b46129ee706d21ef5b2574b9310ceda7f1b02660e260181d933bdfd2bf91b720",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2014-02-11T16:33:07Z",
    "title_canon_sha256": "5338b3ef2d28423a4811850288c232d96f28989206dc5837d15088432fd7cc9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2552",
    "kind": "arxiv",
    "version": 1
  }
}