Pith Number

pith:S3GNBWKX

pith:2013:S3GNBWKXAVS2LT4OS3XYT2UZ7I

not attested not anchored not stored refs pending

An edge variant of the Erd\H{o}s-P\'osa property

Dimitrios M. Thilikos, Ignasi Sau, Jean-Florent Raymond

arxiv:1311.1108 v3 · 2013-11-05 · 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{S3GNBWKXAVS2LT4OS3XYT2UZ7I}

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	2026-05-18T01:33:06.998346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96ccd0d9570565a5cf8e96ef89ea99fa3d11a0aa2316f25348488963eaa2f375

Aliases

arxiv: 1311.1108 · arxiv_version: 1311.1108v3 · doi: 10.48550/arxiv.1311.1108 · pith_short_12: S3GNBWKXAVS2 · pith_short_16: S3GNBWKXAVS2LT4O · pith_short_8: S3GNBWKX

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/S3GNBWKXAVS2LT4OS3XYT2UZ7I \
  | 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: 96ccd0d9570565a5cf8e96ef89ea99fa3d11a0aa2316f25348488963eaa2f375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5ac7e6c50bb42d34ff9b3c76ef0e41c7d558de987395eb9331cca5ee83f3010",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-05T16:13:28Z",
    "title_canon_sha256": "b68aaefd535f3ea328b6adc0556cdd93ee57df331fff5878db03b6992fb264e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1108",
    "kind": "arxiv",
    "version": 3
  }
}