Pith Number

pith:GVMSFSXL

pith:2013:GVMSFSXLAIW77JHA5WJUMGSMYO

not attested not anchored not stored refs pending

A Size-Sensitive Discrepancy Bound for Set Systems of Bounded Primal Shatter Dimension

Esther Ezra

arxiv:1307.8139 v1 · 2013-07-30 · cs.CG · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVMSFSXLAIW77JHA5WJUMGSMYO}

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	2026-05-18T03:17:02.282874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

355922caeb022dffa4e0ed93461a4cc3b8e279853d226d767e3cd7b2e6c06633

Aliases

arxiv: 1307.8139 · arxiv_version: 1307.8139v1 · doi: 10.48550/arxiv.1307.8139 · pith_short_12: GVMSFSXLAIW7 · pith_short_16: GVMSFSXLAIW77JHA · pith_short_8: GVMSFSXL

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/GVMSFSXLAIW77JHA5WJUMGSMYO \
  | 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: 355922caeb022dffa4e0ed93461a4cc3b8e279853d226d767e3cd7b2e6c06633

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0c957ff16251f9726d007a7825df0cf5191f8f546264db03ec8cd9589e171ec",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2013-07-30T20:28:22Z",
    "title_canon_sha256": "9115a1faf4e941ccbf1a908a1b0bc71851397af3687ae82cb06aea491bb154a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8139",
    "kind": "arxiv",
    "version": 1
  }
}