Pith Number

pith:IYCC56NO

pith:2013:IYCC56NOID76TOR3QTUGQYR4QT

not attested not anchored not stored refs pending

Weak density of orbit equivalence classes of free group actions

Lewis Bowen

arxiv:1308.2988 v1 · 2013-08-13 · 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{IYCC56NOID76TOR3QTUGQYR4QT}

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	2026-05-18T03:15:57.002482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46042ef9ae40ffe9ba3b84e868623c84df58fdfb2e90e481fda10034dc8490f7

Aliases

arxiv: 1308.2988 · arxiv_version: 1308.2988v1 · doi: 10.48550/arxiv.1308.2988 · pith_short_12: IYCC56NOID76 · pith_short_16: IYCC56NOID76TOR3 · pith_short_8: IYCC56NO

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/IYCC56NOID76TOR3QTUGQYR4QT \
  | 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: 46042ef9ae40ffe9ba3b84e868623c84df58fdfb2e90e481fda10034dc8490f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c6e6f5191d08ec70284d64e318ec43d3a38f3d3c9dcd9cb985da15920ec319f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-08-13T22:18:19Z",
    "title_canon_sha256": "a24aee7f70e30914686e663e5671f6bf61cdb831e7802dfa94b93cc307181851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2988",
    "kind": "arxiv",
    "version": 1
  }
}