Pith Number

pith:5TSE6R56

pith:2011:5TSE6R56FX4DQJDHNSUSU2WZ25

not attested not anchored not stored refs pending

Orbit equivalence and sofic approximation

David Kerr, Ken Dykema, Mikael Pichot

arxiv:1102.2556 v2 · 2011-02-13 · math.DS · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5TSE6R56FX4DQJDHNSUSU2WZ25}

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	2026-05-18T04:05:59.360702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ece44f47be2df83824676ca92a6ad9d7725bba1e5b069d7b29d2136f747c5d72

Aliases

arxiv: 1102.2556 · arxiv_version: 1102.2556v2 · doi: 10.48550/arxiv.1102.2556 · pith_short_12: 5TSE6R56FX4D · pith_short_16: 5TSE6R56FX4DQJDH · pith_short_8: 5TSE6R56

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/5TSE6R56FX4DQJDHNSUSU2WZ25 \
  | 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: ece44f47be2df83824676ca92a6ad9d7725bba1e5b069d7b29d2136f747c5d72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7adf225e813359b07b854a9ba5a396f00d88ed9739d39a006d41118d53bc218",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-02-13T04:15:42Z",
    "title_canon_sha256": "02d6698149272f8684da7e6f137dcf8564c547189fc4d8c37a7c97ec62d7be4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2556",
    "kind": "arxiv",
    "version": 2
  }
}