Pith Number

pith:4CMTJPNS

pith:2013:4CMTJPNSGKIJGOKMFSGOM2N7HP

not attested not anchored not stored refs pending

Correlation of paths between distinct vertices in a randomly oriented graph

Madeleine Leander, Svante Linusson

arxiv:1303.3961 v2 · 2013-03-16 · 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{4CMTJPNSGKIJGOKMFSGOM2N7HP}

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	2026-05-18T03:30:27.374049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e09934bdb2329093394c2c8ce669bf3bc8ab52b02e8171bf0994f9d605b1d3e3

Aliases

arxiv: 1303.3961 · arxiv_version: 1303.3961v2 · doi: 10.48550/arxiv.1303.3961 · pith_short_12: 4CMTJPNSGKIJ · pith_short_16: 4CMTJPNSGKIJGOKM · pith_short_8: 4CMTJPNS

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/4CMTJPNSGKIJGOKMFSGOM2N7HP \
  | 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: e09934bdb2329093394c2c8ce669bf3bc8ab52b02e8171bf0994f9d605b1d3e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d025fc9ae7fe7065cac369c7c3dc16d8faa2f679692f48d28aaf6e3273fc7e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-16T10:08:42Z",
    "title_canon_sha256": "bd8ae5690748851f2db5d2fb7ee6814fcd26e1eb83808d7d4c66dec12ffb559e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3961",
    "kind": "arxiv",
    "version": 2
  }
}