Pith Number

pith:5G3P7TPB

pith:2022:5G3P7TPBVPNYR6KOHCP37RDB4Y

not attested not anchored not stored refs pending

$P$-polynomial weakly distance-regular digraphs

Kaishun Wang, Qing Zeng, Yuefeng Yang

arxiv:2210.16121 v2 · 2022-10-28 · 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{5G3P7TPBVPNYR6KOHCP37RDB4Y}

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	2026-07-05T06:25:14.863705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9b6ffcde1abdb88f94e389fbfc461e61d4a3382e2a0d7de3c084ac9520e759c

Aliases

arxiv: 2210.16121 · arxiv_version: 2210.16121v2 · doi: 10.48550/arxiv.2210.16121 · pith_short_12: 5G3P7TPBVPNY · pith_short_16: 5G3P7TPBVPNYR6KO · pith_short_8: 5G3P7TPB

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/5G3P7TPBVPNYR6KOHCP37RDB4Y \
  | 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: e9b6ffcde1abdb88f94e389fbfc461e61d4a3382e2a0d7de3c084ac9520e759c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c6d1e748805a9aa0ce38fb48c00d223670f90fe54533d7d9a1e8ba68b979e14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-10-28T13:32:52Z",
    "title_canon_sha256": "4e1fbbdcd57cd4f1a41f7d2815ddec5dc6e576e694085717f1e6ff19e05903b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.16121",
    "kind": "arxiv",
    "version": 2
  }
}