Pith Number

pith:B5OAOYCI

pith:2015:B5OAOYCIZEZL7LGZWNQCSIBL4P

not attested not anchored not stored refs pending

On the Principal Permanent Rank Characteristic Sequences of Graphs and Digraphs

Franklin H. J. Kenter, John Sinkovic, Josh Tobin, Kathleen Nowak, Keivan Hassani Monfared, Paul Horn

arxiv:1510.05153 v1 · 2015-10-17 · 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{B5OAOYCIZEZL7LGZWNQCSIBL4P}

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	2026-05-18T01:29:53.010139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f5c076048c932bfacd9b36029202be3e6952863c9b5e9712527b801d110e576

Aliases

arxiv: 1510.05153 · arxiv_version: 1510.05153v1 · doi: 10.48550/arxiv.1510.05153 · pith_short_12: B5OAOYCIZEZL · pith_short_16: B5OAOYCIZEZL7LGZ · pith_short_8: B5OAOYCI

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/B5OAOYCIZEZL7LGZWNQCSIBL4P \
  | 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: 0f5c076048c932bfacd9b36029202be3e6952863c9b5e9712527b801d110e576

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d3b62ddbea9b5d1639d57f59178e6533414c6fd0380e9d9bdd84c8822fdd4b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-17T18:45:13Z",
    "title_canon_sha256": "4baf108314ee5202965612217c93da3c0827d6e58d749d16514c9272a4372ba3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05153",
    "kind": "arxiv",
    "version": 1
  }
}