Pith Number

pith:VTCP3WXC

pith:2024:VTCP3WXCO7MSSB6TZECGMQQRDP

not attested not anchored not stored refs pending

Towards an optimal hypergraph container lemma

Marcelo Campos, Wojciech Samotij

arxiv:2408.06617 v2 · 2024-08-13 · 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{VTCP3WXCO7MSSB6TZECGMQQRDP}

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

2 papers in Pith

Counting independent sets in percolated graphs via the Ising model

A Hypergraph Container Method for Spread SAT: Approximation and Speedup

Receipt and verification

First computed	2026-07-05T09:09:05.971395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acc4fddae277d92907d3c9046642111bfc673f433945877142719d3617d4e8d4

Aliases

arxiv: 2408.06617 · arxiv_version: 2408.06617v2 · doi: 10.48550/arxiv.2408.06617 · pith_short_12: VTCP3WXCO7MS · pith_short_16: VTCP3WXCO7MSSB6T · pith_short_8: VTCP3WXC

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/VTCP3WXCO7MSSB6TZECGMQQRDP \
  | 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: acc4fddae277d92907d3c9046642111bfc673f433945877142719d3617d4e8d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf2bb2a122d20065e0e54d34153650bf2ffb2889794fd5332a73a70123dd9f85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-08-13T04:06:23Z",
    "title_canon_sha256": "3b697f18e8f31a14ba147454ee9c2b7d916040ab0504a7f51975ec637d5f9837"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.06617",
    "kind": "arxiv",
    "version": 2
  }
}