Pith Number

pith:5IXSACBK

pith:2026:5IXSACBKYCX6VSQUYKTV7ORDIL

not attested not anchored not stored refs pending

A Paper on Calculating the Height and Relational Complexity of the Primitive Actions of $ PSL_{2} (q) $ and $ PGL_{2} (q) $

Scott Hudson

arxiv:2607.20295 v1 · 2026-07-22 · 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{5IXSACBKYCX6VSQUYKTV7ORDIL}

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	2026-07-23T01:25:12.863278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea2f20082ac0afeaca14c2a75fba2342da7671d6aad253c0e62b0f5a8caa3027

Aliases

arxiv: 2607.20295 · arxiv_version: 2607.20295v1 · doi: 10.48550/arxiv.2607.20295 · pith_short_12: 5IXSACBKYCX6 · pith_short_16: 5IXSACBKYCX6VSQU · pith_short_8: 5IXSACBK

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/5IXSACBKYCX6VSQUYKTV7ORDIL \
  | 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: ea2f20082ac0afeaca14c2a75fba2342da7671d6aad253c0e62b0f5a8caa3027

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65aa85fdc3600f7d7b46ee17c65dad4159e27177654e4196aab52a1fcdaa42dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-07-22T15:40:53Z",
    "title_canon_sha256": "4b7638f859b3c6583bd755dbaac2e5bd8f9a17498cc7d5c9c4615f4730ab650d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20295",
    "kind": "arxiv",
    "version": 1
  }
}