Pith Number

pith:UO7LME57

pith:2024:UO7LME57LEWVZC3DVGA26CAUZH

not attested not anchored not stored refs pending

Polynomial-time approximation schemes for induced subgraph problems on fractionally tree-independence-number-fragile graphs

Andrea Munaro, Esther Galby, Shizhou Yang

arxiv:2402.18352 v1 · 2024-02-28 · cs.DS · cs.CG · 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{UO7LME57LEWVZC3DVGA26CAUZH}

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

Subdivided expanders and counterexamples to the Tree Product Conjecture

Receipt and verification

First computed	2026-07-05T10:52:10.705650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3beb613bf592d5c8b63a981af0814c9e9535aaf4593b7bdd7916f79869f16dc

Aliases

arxiv: 2402.18352 · arxiv_version: 2402.18352v1 · doi: 10.48550/arxiv.2402.18352 · pith_short_12: UO7LME57LEWV · pith_short_16: UO7LME57LEWVZC3D · pith_short_8: UO7LME57

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/UO7LME57LEWVZC3DVGA26CAUZH \
  | 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: a3beb613bf592d5c8b63a981af0814c9e9535aaf4593b7bdd7916f79869f16dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58b09ece46ce7f147ba5581424e41bf2b0e5097f3b133e9e1dd3e59562a5a297",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2024-02-28T14:20:29Z",
    "title_canon_sha256": "06e627ef9f656706ddf2787b8c51e60cb09ba710971d5b72a8cd642cadc11331"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.18352",
    "kind": "arxiv",
    "version": 1
  }
}