Pith Number

pith:76GJIRJ5

pith:2016:76GJIRJ5VWMYVCZ26H75M3WACK

not attested not anchored not stored refs pending

Generalised Paley graphs with a product structure

Cheryl E Praeger, Geoffrey Pearce

arxiv:1612.06609 v1 · 2016-12-20 · math.CO · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76GJIRJ5VWMYVCZ26H75M3WACK}

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	2026-05-18T00:54:25.238553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff8c94453dad998a8b3af1ffd66ec012a3ac8d5094b8b094101d7d2b4e7e5771

Aliases

arxiv: 1612.06609 · arxiv_version: 1612.06609v1 · doi: 10.48550/arxiv.1612.06609 · pith_short_12: 76GJIRJ5VWMY · pith_short_16: 76GJIRJ5VWMYVCZ2 · pith_short_8: 76GJIRJ5

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/76GJIRJ5VWMYVCZ26H75M3WACK \
  | 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: ff8c94453dad998a8b3af1ffd66ec012a3ac8d5094b8b094101d7d2b4e7e5771

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29c0627ec419abeb11cc525afabdda49b416a4f651167040ca2f235566753a31",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-20T11:10:42Z",
    "title_canon_sha256": "79617615b50951f352e4112e7403879816130b362cde85c4bb828a25cde0abd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06609",
    "kind": "arxiv",
    "version": 1
  }
}