Pith Number

pith:H5MUFCNA

pith:2015:H5MUFCNAFX7LK57FOYI6MQS2VL

not attested not anchored not stored refs pending

Normal amenable subgroups of the automorphism group of the full shift

Joshua Frisch, Omer Tamuz, Tomer Schlank

arxiv:1512.00587 v2 · 2015-12-02 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H5MUFCNAFX7LK57FOYI6MQS2VL}

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	2026-05-17T23:50:16.671653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f594289a02dfeb577e57611e6425aaac553219fcb978ee207a5325ac2aa21b4

Aliases

arxiv: 1512.00587 · arxiv_version: 1512.00587v2 · doi: 10.48550/arxiv.1512.00587 · pith_short_12: H5MUFCNAFX7L · pith_short_16: H5MUFCNAFX7LK57F · pith_short_8: H5MUFCNA

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/H5MUFCNAFX7LK57FOYI6MQS2VL \
  | 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: 3f594289a02dfeb577e57611e6425aaac553219fcb978ee207a5325ac2aa21b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "049c5257c1184467007b66dc94d26ded56a3741841a54a200718d48df32d3a8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-12-02T06:17:26Z",
    "title_canon_sha256": "e5ffc132a6f0a060bf8214bfdb486247e5a811c39a061b6de8b53daacf269351"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00587",
    "kind": "arxiv",
    "version": 2
  }
}