Pith Number

pith:KLGZNAL2

pith:2017:KLGZNAL22ZLRAIX4BOPGHW2ONP

not attested not anchored not stored refs pending

Polynomial expansion and sublinear separators

Jean-Florent Raymond, Louis Esperet

arxiv:1705.01438 v2 · 2017-05-03 · 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{KLGZNAL22ZLRAIX4BOPGHW2ONP}

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	2026-05-18T00:31:51.169480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52cd96817ad6571022fc0b9e63db4e6bcf26b84f59f3c65a78a481009235edd6

Aliases

arxiv: 1705.01438 · arxiv_version: 1705.01438v2 · doi: 10.48550/arxiv.1705.01438 · pith_short_12: KLGZNAL22ZLR · pith_short_16: KLGZNAL22ZLRAIX4 · pith_short_8: KLGZNAL2

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/KLGZNAL22ZLRAIX4BOPGHW2ONP \
  | 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: 52cd96817ad6571022fc0b9e63db4e6bcf26b84f59f3c65a78a481009235edd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15575c6c9b91e00421e47062543bf48a6cf9ccdceef23f0010c5201b0b7fc652",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-03T14:12:45Z",
    "title_canon_sha256": "7eac1af0e5e0c886d742346f4b6ca314f1fe7420dd5f82a1bd6ecc3f098b3af0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01438",
    "kind": "arxiv",
    "version": 2
  }
}