Pith Number

pith:MJM2L7P2

pith:2018:MJM2L7P2MGIA3OLIBUIICOS4V2

not attested not anchored not stored refs pending

On the number of real classes in the finite projective linear and unitary groups

C. Ryan Vinroot, Elena Amparo

arxiv:1808.02058 v1 · 2018-08-06 · 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{MJM2L7P2MGIA3OLIBUIICOS4V2}

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	2026-05-18T00:08:47.767839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6259a5fdfa61900db9680d10813a5caeb2d91eaaf5b3c960182cc00b9a6d76b8

Aliases

arxiv: 1808.02058 · arxiv_version: 1808.02058v1 · doi: 10.48550/arxiv.1808.02058 · pith_short_12: MJM2L7P2MGIA · pith_short_16: MJM2L7P2MGIA3OLI · pith_short_8: MJM2L7P2

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/MJM2L7P2MGIA3OLIBUIICOS4V2 \
  | 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: 6259a5fdfa61900db9680d10813a5caeb2d91eaaf5b3c960182cc00b9a6d76b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14c97d591a570ebd69c9adec307320199028719af7a371c3db7a58b370bd239a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-08-06T18:31:28Z",
    "title_canon_sha256": "0e3a4557b1647c3b73eff9e36a2615c06af69644274b609bc82c744f581aeaed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02058",
    "kind": "arxiv",
    "version": 1
  }
}