Pith Number

pith:PDYRJSRC

pith:2018:PDYRJSRCZN4JBNRLWASU7T2BP5

not attested not anchored not stored refs pending

Invariable generation of permutation and linear groups

Gareth M. Tracey

arxiv:1801.09928 v1 · 2018-01-30 · 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{PDYRJSRCZN4JBNRLWASU7T2BP5}

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	2026-05-18T00:24:46.360008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78f114ca22cb7890b62bb0254fcf417f600c0b5987cb1ef3df420de826bbda7a

Aliases

arxiv: 1801.09928 · arxiv_version: 1801.09928v1 · doi: 10.48550/arxiv.1801.09928 · pith_short_12: PDYRJSRCZN4J · pith_short_16: PDYRJSRCZN4JBNRL · pith_short_8: PDYRJSRC

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/PDYRJSRCZN4JBNRLWASU7T2BP5 \
  | 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: 78f114ca22cb7890b62bb0254fcf417f600c0b5987cb1ef3df420de826bbda7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0035ebbbeb38efc8501a03ae70adaa58298c8aa25f375a820443a32a2f44daa6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-01-30T10:56:05Z",
    "title_canon_sha256": "e841abc0b82dffce087f54389458bea79e95605b1f489617876be89124b63682"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09928",
    "kind": "arxiv",
    "version": 1
  }
}