Pith Number

pith:36IN72E4

pith:2016:36IN72E4QK6CAMKRI55Y52F4OR

not attested not anchored not stored refs pending

Transitive action on finite points of a full shift and a finitary Ryan's theorem

Ville Salo

arxiv:1610.05487 v3 · 2016-10-18 · math.DS · 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{36IN72E4QK6CAMKRI55Y52F4OR}

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	2026-05-18T00:22:21.194695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df90dfe89c82bc203151477b8ee8bc7472b14aff44df1043019dd0214fbab47b

Aliases

arxiv: 1610.05487 · arxiv_version: 1610.05487v3 · doi: 10.48550/arxiv.1610.05487 · pith_short_12: 36IN72E4QK6C · pith_short_16: 36IN72E4QK6CAMKR · pith_short_8: 36IN72E4

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/36IN72E4QK6CAMKRI55Y52F4OR \
  | 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: df90dfe89c82bc203151477b8ee8bc7472b14aff44df1043019dd0214fbab47b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d22016417810eda30a1b149dec379993b080055ebf10c6d374a48304bceccbb9",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-18T09:00:44Z",
    "title_canon_sha256": "6db4cc295ad3df55c7ddcec5396880e8d8807c263bde41a2bed13229d4e0f88a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05487",
    "kind": "arxiv",
    "version": 3
  }
}