Pith Number

pith:7DXRJKWN

pith:2025:7DXRJKWNZDEXMLNSKCQ5SQUB34

not attested not anchored not stored refs pending

A short proof of Tuza's conjecture for weak saturation in hypergraphs

Nikolai Terekhov

arxiv:2504.03816 v2 · 2025-04-04 · math.CO

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\usepackage{pith}
\pithnumber{7DXRJKWNZDEXMLNSKCQ5SQUB34}

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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

Asymptotically optimal lower bounds on weak saturation numbers for hypergraphs

Receipt and verification

First computed	2026-07-05T10:53:16.782939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8ef14aacdc8c9762db250a1d94281df2317bbd5c2bc94e1e5ce7efb28aa1825

Aliases

arxiv: 2504.03816 · arxiv_version: 2504.03816v2 · doi: 10.48550/arxiv.2504.03816 · pith_short_12: 7DXRJKWNZDEX · pith_short_16: 7DXRJKWNZDEXMLNS · pith_short_8: 7DXRJKWN

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/7DXRJKWNZDEXMLNSKCQ5SQUB34 \
  | 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: f8ef14aacdc8c9762db250a1d94281df2317bbd5c2bc94e1e5ce7efb28aa1825

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bc5af70872a115a0437dfdad58978835c0b80cc3db5d4c2ac18f5ec304b2b8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-04T15:39:40Z",
    "title_canon_sha256": "d73acb2f042fd16e88b7db8131f68693a7e31ed0aa8d9669f097513092536db0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.03816",
    "kind": "arxiv",
    "version": 2
  }
}