Pith Number

pith:UUJN7SKT

pith:2015:UUJN7SKTNRLS5IK5F3P2H7RA5M

not attested not anchored not stored refs pending

Strongly sublinear separators and polynomial expansion

Sergey Norin, Zdenek Dvorak

arxiv:1504.04821 v1 · 2015-04-19 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UUJN7SKTNRLS5IK5F3P2H7RA5M}

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	2026-05-18T02:18:24.657821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a512dfc9536c572ea15d2edfa3fe20eb22db92e18984c24578412633f519a059

Aliases

arxiv: 1504.04821 · arxiv_version: 1504.04821v1 · doi: 10.48550/arxiv.1504.04821 · pith_short_12: UUJN7SKTNRLS · pith_short_16: UUJN7SKTNRLS5IK5 · pith_short_8: UUJN7SKT

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/UUJN7SKTNRLS5IK5F3P2H7RA5M \
  | 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: a512dfc9536c572ea15d2edfa3fe20eb22db92e18984c24578412633f519a059

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a21a9112c91c18acc0e381dc9d0e5f353ebc59d3d9df75d6a8e4887758fe5f2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-19T11:05:08Z",
    "title_canon_sha256": "552127ad72400d9a606cbebe1bd403e692091e66bd3c855c3e34746ee64a0690"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04821",
    "kind": "arxiv",
    "version": 1
  }
}