Pith Number

pith:PTMTDBME

pith:2009:PTMTDBME66D37WUI2VXB5J2KZN

not attested not anchored not stored refs pending

Transitive projective planes and insoluble groups

Nick Gill

arxiv:0903.3302 v5 · 2009-03-19 · math.GR · 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{PTMTDBME66D37WUI2VXB5J2KZN}

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	2026-05-18T03:04:07.078958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cd9318584f787bfda88d56e1ea74acb4ec920f347daf25920aef74d9cb82728

Aliases

arxiv: 0903.3302 · arxiv_version: 0903.3302v5 · doi: 10.48550/arxiv.0903.3302 · pith_short_12: PTMTDBME66D3 · pith_short_16: PTMTDBME66D37WUI · pith_short_8: PTMTDBME

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/PTMTDBME66D37WUI2VXB5J2KZN \
  | 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: 7cd9318584f787bfda88d56e1ea74acb4ec920f347daf25920aef74d9cb82728

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a704e454311a7e278b73f45c658639166136f8c6850772052a7a90ab995b0d94",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-03-19T15:38:56Z",
    "title_canon_sha256": "f611b774a934ff1b54d760055c0df98f4d61aa80a259d8bb8175128127519a70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3302",
    "kind": "arxiv",
    "version": 5
  }
}