Pith Number

pith:BU6D77JF

pith:2013:BU6D77JFL6SCE73275VYHVPVYZ

not attested not anchored not stored refs pending

Unary FA-presentable binary relations: transitivity and classification results

Alan J. Cain, Nik Ru\v{s}kuc

arxiv:1303.0214 v1 · 2013-03-01 · 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{BU6D77JFL6SCE73275VYHVPVYZ}

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	2026-05-18T03:32:06.550057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d3c3ffd255fa4227f7aff6b83d5f5c66cacad27a98a64c8444ff6dcd1fdac81

Aliases

arxiv: 1303.0214 · arxiv_version: 1303.0214v1 · doi: 10.48550/arxiv.1303.0214 · pith_short_12: BU6D77JFL6SC · pith_short_16: BU6D77JFL6SCE732 · pith_short_8: BU6D77JF

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/BU6D77JFL6SCE73275VYHVPVYZ \
  | 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: 0d3c3ffd255fa4227f7aff6b83d5f5c66cacad27a98a64c8444ff6dcd1fdac81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8edc6c03ce75d154646f287f4e42853e1a2f3ccc25a529d39fc4cf6b98523a91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-01T16:37:05Z",
    "title_canon_sha256": "d046094b6b72c973286b968294b105c24782b7f037e25678c3f73f3640fd7588"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0214",
    "kind": "arxiv",
    "version": 1
  }
}