Pith Number

pith:OLRGK62D

pith:2015:OLRGK62DKZNBVTDEZ6PGPNAXBV

not attested not anchored not stored refs pending

Positive sofic entropy implies finite stabilizer

Tom Meyerovitch

arxiv:1504.08137 v3 · 2015-04-30 · 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{OLRGK62DKZNBVTDEZ6PGPNAXBV}

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	2026-05-18T01:08:21.273759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72e2657b43565a1acc64cf9e67b4170d67043eb3e0df318e921eb13005128d29

Aliases

arxiv: 1504.08137 · arxiv_version: 1504.08137v3 · doi: 10.48550/arxiv.1504.08137 · pith_short_12: OLRGK62DKZNB · pith_short_16: OLRGK62DKZNBVTDE · pith_short_8: OLRGK62D

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/OLRGK62DKZNBVTDEZ6PGPNAXBV \
  | 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: 72e2657b43565a1acc64cf9e67b4170d67043eb3e0df318e921eb13005128d29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa3234243fd5f28786cf04a6867d4da484971c4edbec260e65cee57935a25996",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-04-30T09:28:59Z",
    "title_canon_sha256": "b15d1ad5063b8c94492ca427b01b77208a60842625dc31c577513bd34db1c920"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08137",
    "kind": "arxiv",
    "version": 3
  }
}