Pith Number

pith:7YPK5WDO

pith:2016:7YPK5WDOVJZI5AUPH7W3EGOYQ2

not attested not anchored not stored refs pending

The group of reversible Turing machines

Jarkko Kari, Sebasti\'an Barbieri, Ville Salo

arxiv:1603.08715 v1 · 2016-03-29 · math.GR · 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{7YPK5WDOVJZI5AUPH7W3EGOYQ2}

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	2026-05-17T23:47:49.445599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe1eaed86eaa728e828f3fedb219d88690577cbeed9c0a86a540046e75f80ca4

Aliases

arxiv: 1603.08715 · arxiv_version: 1603.08715v1 · doi: 10.48550/arxiv.1603.08715 · pith_short_12: 7YPK5WDOVJZI · pith_short_16: 7YPK5WDOVJZI5AUP · pith_short_8: 7YPK5WDO

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/7YPK5WDOVJZI5AUPH7W3EGOYQ2 \
  | 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: fe1eaed86eaa728e828f3fedb219d88690577cbeed9c0a86a540046e75f80ca4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44b12fae781cfa3eb1609709864e114dbc5aac110e4b3566d390b9b1246b44ce",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-03-29T10:39:34Z",
    "title_canon_sha256": "4eea48ecfa50436b66679ed2a12ef067567ebe87279c70178e0861e6225493b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08715",
    "kind": "arxiv",
    "version": 1
  }
}