Pith Number

pith:GKZ7PSWT

pith:2016:GKZ7PSWTKXKKPSWBSYYNK34DOM

not attested not anchored not stored refs pending

An infinite family of vertex-primitive 2-arc-transitive digraphs

Binzhou Xia, Cai Heng Li, Michael Giudici

arxiv:1609.06809 v2 · 2016-09-22 · 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{GKZ7PSWTKXKKPSWBSYYNK34DOM}

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	2026-05-18T00:45:06.386798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32b3f7cad355d4a7cac19630d56f8373002b4bad1b6aa0766bf6150c65c99d61

Aliases

arxiv: 1609.06809 · arxiv_version: 1609.06809v2 · doi: 10.48550/arxiv.1609.06809 · pith_short_12: GKZ7PSWTKXKK · pith_short_16: GKZ7PSWTKXKKPSWB · pith_short_8: GKZ7PSWT

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/GKZ7PSWTKXKKPSWBSYYNK34DOM \
  | 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: 32b3f7cad355d4a7cac19630d56f8373002b4bad1b6aa0766bf6150c65c99d61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a7101ad8e718fce7290cd7e6acd4ded4f515051cfa552361eacd62dd0f9d8e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-22T03:36:16Z",
    "title_canon_sha256": "3af2d60581068bf9b493d45a46a324e52340b59781cb5cccd5635aa595e941c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06809",
    "kind": "arxiv",
    "version": 2
  }
}