Pith Number

pith:R46Z5EHQ

pith:2020:R46Z5EHQGK6KJUS5QQDZW3DDUV

not attested not anchored not stored refs pending

Factor maps for automorphism groups via Cayley diagrams

Riley Thornton

arxiv:2011.14604 v4 · 2020-11-30 · math.CO · math.DS · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R46Z5EHQGK6KJUS5QQDZW3DDUV}

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	2026-07-05T09:24:29.537147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f3d9e90f032bca4d25d84079b6c63a567ec8dff0fa6536fff59ec436b397635

Aliases

arxiv: 2011.14604 · arxiv_version: 2011.14604v4 · doi: 10.48550/arxiv.2011.14604 · pith_short_12: R46Z5EHQGK6K · pith_short_16: R46Z5EHQGK6KJUS5 · pith_short_8: R46Z5EHQ

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/R46Z5EHQGK6KJUS5QQDZW3DDUV \
  | 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: 8f3d9e90f032bca4d25d84079b6c63a567ec8dff0fa6536fff59ec436b397635

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf1f45dceb4e7d146cd259acf392748ecee74ef95c2f49f620c85cea6dd07c15",
    "cross_cats_sorted": [
      "math.DS",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-11-30T08:05:12Z",
    "title_canon_sha256": "c421120fe41a66505a3a8cba4726776ddd0efad3186e3512dfe68001e7b271f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.14604",
    "kind": "arxiv",
    "version": 4
  }
}