Pith Number

pith:MM3UC5ZW

pith:2012:MM3UC5ZWJH7EXZ6VEAUBNIOFMM

not attested not anchored not stored refs pending

Pairwise Suitable Family of Permutations and Boxicity

Deepak Rajendraprasad, L. Sunil Chandran, Manu Basavaraju, Rogers Mathew

arxiv:1212.6756 v1 · 2012-12-30 · 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{MM3UC5ZWJH7EXZ6VEAUBNIOFMM}

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	2026-05-18T03:37:31.005192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

633741773649fe4be7d5202816a1c56334cf3d987875115b58f455419d6e5207

Aliases

arxiv: 1212.6756 · arxiv_version: 1212.6756v1 · doi: 10.48550/arxiv.1212.6756 · pith_short_12: MM3UC5ZWJH7E · pith_short_16: MM3UC5ZWJH7EXZ6V · pith_short_8: MM3UC5ZW

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/MM3UC5ZWJH7EXZ6VEAUBNIOFMM \
  | 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: 633741773649fe4be7d5202816a1c56334cf3d987875115b58f455419d6e5207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e68ba93e6c94d2f23974f46df25c7634a40891492ddb7a0a0389d65ea8547a0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-30T17:52:44Z",
    "title_canon_sha256": "36a3a45a17a605884cbaacb99ee1ba00d033a7f18f9cc84e8c1be7e804b8a511"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6756",
    "kind": "arxiv",
    "version": 1
  }
}