Pith Number

pith:VCTVZTSY

pith:2015:VCTVZTSYKSZ2MGWKXWALVMDYGN

not attested not anchored not stored refs pending

Directed strongly walk-regular graphs

Edwin R. van Dam, Gholamreza Omidi

arxiv:1508.05281 v2 · 2015-08-21 · 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{VCTVZTSYKSZ2MGWKXWALVMDYGN}

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	2026-05-18T00:35:35.980845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8a75cce5854b3a61acabd80bab078334015ff872d2781a714d553077b1a2d7c

Aliases

arxiv: 1508.05281 · arxiv_version: 1508.05281v2 · doi: 10.48550/arxiv.1508.05281 · pith_short_12: VCTVZTSYKSZ2 · pith_short_16: VCTVZTSYKSZ2MGWK · pith_short_8: VCTVZTSY

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/VCTVZTSYKSZ2MGWKXWALVMDYGN \
  | 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: a8a75cce5854b3a61acabd80bab078334015ff872d2781a714d553077b1a2d7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d764bed14102289762bf2cfc3808b2c98ad2f1f105e550f33230a76a360961e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-21T14:26:40Z",
    "title_canon_sha256": "4b6067782ad56357cf7e4b7a8fc42b27cb19c1dfa643db7d66e31b590dae2b8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05281",
    "kind": "arxiv",
    "version": 2
  }
}