Pith Number

pith:4QRG6RKO

pith:2016:4QRG6RKOYYGEJUQYTBT7EHLTCU

not attested not anchored not stored refs pending

Three Ways to Count Walks in a Digraph

Matthew Yancey

arxiv:1610.01200 v1 · 2016-10-04 · 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{4QRG6RKOYYGEJUQYTBT7EHLTCU}

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	2026-05-18T01:03:11.433081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4226f454ec60c44d2189867f21d731519fd2accc5bf8c252204967043a75241

Aliases

arxiv: 1610.01200 · arxiv_version: 1610.01200v1 · doi: 10.48550/arxiv.1610.01200 · pith_short_12: 4QRG6RKOYYGE · pith_short_16: 4QRG6RKOYYGEJUQY · pith_short_8: 4QRG6RKO

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/4QRG6RKOYYGEJUQYTBT7EHLTCU \
  | 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: e4226f454ec60c44d2189867f21d731519fd2accc5bf8c252204967043a75241

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b114100ad656a8993fae1ad39cdbd964f7a0d27735c5fbd6ecde6dcba5bc0dc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-04T20:59:25Z",
    "title_canon_sha256": "bae2e612502c2336b8b94652d711269cd58b052c592250a546b18df28e4d97bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01200",
    "kind": "arxiv",
    "version": 1
  }
}