Pith Number

pith:5IWY27CE

pith:2011:5IWY27CE76WUGZDPXTZKH7SIAY

not attested not anchored not stored refs pending

The Elementary Divisors of the Incidence Matrix of Skew Lines in PG(3,q)

Andries E. Brouwer, Joshua E. Ducey, Peter Sin

arxiv:1103.0062 v2 · 2011-03-01 · 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{5IWY27CE76WUGZDPXTZKH7SIAY}

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	2026-05-18T04:11:39.620132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea2d8d7c44ffad43646fbcf2a3fe480606c279c510807376d2e00e2ce5a4c95c

Aliases

arxiv: 1103.0062 · arxiv_version: 1103.0062v2 · doi: 10.48550/arxiv.1103.0062 · pith_short_12: 5IWY27CE76WU · pith_short_16: 5IWY27CE76WUGZDP · pith_short_8: 5IWY27CE

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/5IWY27CE76WUGZDPXTZKH7SIAY \
  | 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: ea2d8d7c44ffad43646fbcf2a3fe480606c279c510807376d2e00e2ce5a4c95c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f364cb42b2073bb71f5287d11aa98391b9ca539e37382f7d5796a676e68c732",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-01T01:47:42Z",
    "title_canon_sha256": "1696fde69a466933fa7058f923772c2648674b5b53652c3c227f9cf15ec6d7e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0062",
    "kind": "arxiv",
    "version": 2
  }
}