Pith Number

pith:OYUQBRLW

pith:2014:OYUQBRLWUYXVYNO4WHA5JIZTLO

not attested not anchored not stored refs pending

Sublinear separators, fragility and subexponential expansion

Zdenek Dvorak

arxiv:1404.7219 v2 · 2014-04-29 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OYUQBRLWUYXVYNO4WHA5JIZTLO}

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	2026-05-18T02:19:25.619176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

762900c576a62f5c35dcb1c1d4a3335b9019f339373fdcad022f1ad173a02198

Aliases

arxiv: 1404.7219 · arxiv_version: 1404.7219v2 · doi: 10.48550/arxiv.1404.7219 · pith_short_12: OYUQBRLWUYXV · pith_short_16: OYUQBRLWUYXVYNO4 · pith_short_8: OYUQBRLW

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/OYUQBRLWUYXVYNO4WHA5JIZTLO \
  | 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: 762900c576a62f5c35dcb1c1d4a3335b9019f339373fdcad022f1ad173a02198

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6af8c0169e834937b30546523c7430018610faa3b383936041c8ceace290d717",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-29T03:05:27Z",
    "title_canon_sha256": "5175aaf02b19bad7fcff7bc36ff6fa952bcc1cbe791f6e164f129c4ec411e88f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7219",
    "kind": "arxiv",
    "version": 2
  }
}