Pith Number

pith:JTTFFJLO

pith:2018:JTTFFJLO5QG7VMLCG3MUDWZETP

not attested not anchored not stored refs pending

A short nonalgorithmic proof of the containers theorem for hypergraphs

Anton Bernshteyn, Anush Tserunyan, Henry Towsner, Michelle Delcourt

arxiv:1801.07186 v3 · 2018-01-22 · math.CO · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JTTFFJLO5QG7VMLCG3MUDWZETP}

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	2026-05-18T00:06:50.934919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ce652a56eec0dfab16236d941db249bc7452c95afcab6f1d92cea12c9889172

Aliases

arxiv: 1801.07186 · arxiv_version: 1801.07186v3 · doi: 10.48550/arxiv.1801.07186 · pith_short_12: JTTFFJLO5QG7 · pith_short_16: JTTFFJLO5QG7VMLC · pith_short_8: JTTFFJLO

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/JTTFFJLO5QG7VMLCG3MUDWZETP \
  | 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: 4ce652a56eec0dfab16236d941db249bc7452c95afcab6f1d92cea12c9889172

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6664b010467e38fec1a276e4aef5e721b458af3157a7c0d6dd36cceca24c954c",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-22T16:40:31Z",
    "title_canon_sha256": "8d199b33e2e0e5b66f9b37b30382a0e3f62c82da308638598b8ec21473c2eb7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07186",
    "kind": "arxiv",
    "version": 3
  }
}