Pith Number

pith:MHUTMPGB

pith:2013:MHUTMPGBNM3BQL5YX7Q6RA5AJW

not attested not anchored not stored refs pending

Supersaturation in the Boolean lattice

Andrew P. Dove, Jean-S\'ebastien Sereni, Jerrold R. Griggs, Ross J. Kang

arxiv:1303.4336 v1 · 2013-03-18 · 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{MHUTMPGBNM3BQL5YX7Q6RA5AJW}

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	2026-05-18T00:40:08.808474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61e9363cc16b36182fb8bfe1e883a04db4ef58b56d15339cbc4245b49723f199

Aliases

arxiv: 1303.4336 · arxiv_version: 1303.4336v1 · doi: 10.48550/arxiv.1303.4336 · pith_short_12: MHUTMPGBNM3B · pith_short_16: MHUTMPGBNM3BQL5Y · pith_short_8: MHUTMPGB

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/MHUTMPGBNM3BQL5YX7Q6RA5AJW \
  | 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: 61e9363cc16b36182fb8bfe1e883a04db4ef58b56d15339cbc4245b49723f199

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b59c72aa0d9fc07dd873bacc6638345b5b725b8f68da5805f5261d2983c4dbbd",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-18T17:44:08Z",
    "title_canon_sha256": "acc3c9bc3ea34bd51b1fb5e02396680907e00823996fe4683483bf0e22007a2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4336",
    "kind": "arxiv",
    "version": 1
  }
}