Pith Number

pith:Q26U3JVJ

pith:2017:Q26U3JVJYQBVLRRLN7DVSGATLX

not attested not anchored not stored refs pending

An exponential lower bound for cut sparsifiers in planar graphs

Anna Zych-Pawlewicz, Marcin Pilipczuk, Nikolai Karpov

arxiv:1706.06086 v3 · 2017-06-19 · 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{Q26U3JVJYQBVLRRLN7DVSGATLX}

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	2026-05-18T00:27:00.478284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86bd4da6a9c40355c62b6fc75918135dde6f0f33f598f1dd803a4a7572ceacb8

Aliases

arxiv: 1706.06086 · arxiv_version: 1706.06086v3 · doi: 10.48550/arxiv.1706.06086 · pith_short_12: Q26U3JVJYQBV · pith_short_16: Q26U3JVJYQBVLRRL · pith_short_8: Q26U3JVJ

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/Q26U3JVJYQBVLRRLN7DVSGATLX \
  | 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: 86bd4da6a9c40355c62b6fc75918135dde6f0f33f598f1dd803a4a7572ceacb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ab376efec0a90960297ced0b2b3566b898da4d247b26f1cc45a69a8beb6c878",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2017-06-19T17:57:08Z",
    "title_canon_sha256": "9c3df4da41f6e7015d5ba17c3ded045291976161aed6383147c35cc2d69993fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06086",
    "kind": "arxiv",
    "version": 3
  }
}