Pith Number

pith:XTBYFFQD

pith:2011:XTBYFFQDTSARTLBZVLEGTQ4ODP

not attested not anchored not stored refs pending

Three-factor decompositions of $\mathbb{U}_n$ with the three generators in arithmetic progression

D. A. Preece, P. J. Cameron

arxiv:1111.3507 v1 · 2011-11-15 · math.NT · 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{XTBYFFQDTSARTLBZVLEGTQ4ODP}

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	2026-05-18T04:08:14.008048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcc38296039c8119ac39aac869c38e1bd19367480df712a25c11baa909a8324f

Aliases

arxiv: 1111.3507 · arxiv_version: 1111.3507v1 · doi: 10.48550/arxiv.1111.3507 · pith_short_12: XTBYFFQDTSAR · pith_short_16: XTBYFFQDTSARTLBZ · pith_short_8: XTBYFFQD

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/XTBYFFQDTSARTLBZVLEGTQ4ODP \
  | 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: bcc38296039c8119ac39aac869c38e1bd19367480df712a25c11baa909a8324f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "912b979989f48a999d393d94ce7b2b9dacbcb7d0048b79e7991285ce66d875df",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-11-15T11:41:27Z",
    "title_canon_sha256": "df80173b606b79620a17fdc7f9367f736b774eb046e08ce7cc7e476d302dad26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3507",
    "kind": "arxiv",
    "version": 1
  }
}