Pith Number

pith:5GWSJGQU

pith:2014:5GWSJGQUDCI4NVIIK7MSLI66NJ

not attested not anchored not stored refs pending

VC-dimension and Erd\H{o}s-P\'osa property

Nicolas Bousquet, St\'ephan Thomass\'e

arxiv:1412.1793 v1 · 2014-12-04 · 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{5GWSJGQUDCI4NVIIK7MSLI66NJ}

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.

Cited by

1 paper in Pith

Sample compression schemes for balls in structurally sparse graphs

Receipt and verification

First computed	2026-05-18T02:32:06.483412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9ad249a141891c6d50857d925a3de6a6e3731880545c1b1edebed2e6ebde17a

Aliases

arxiv: 1412.1793 · arxiv_version: 1412.1793v1 · doi: 10.48550/arxiv.1412.1793 · pith_short_12: 5GWSJGQUDCI4 · pith_short_16: 5GWSJGQUDCI4NVII · pith_short_8: 5GWSJGQU

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/5GWSJGQUDCI4NVIIK7MSLI66NJ \
  | 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: e9ad249a141891c6d50857d925a3de6a6e3731880545c1b1edebed2e6ebde17a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dabe4461eabbee9c6442f3f3f1ca4d29eceeb7c4df9a480a5a86598a67fec2a1",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-04T20:19:44Z",
    "title_canon_sha256": "689ceb718bd751bd616cb70f498a060e5279969ea7a1d19aefde3f3e90352d6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1793",
    "kind": "arxiv",
    "version": 1
  }
}