Pith Number

pith:PFFXY2HR

pith:2013:PFFXY2HRZFTHNN2BNDBIJPSJVV

not attested not anchored not stored refs pending

Category Theory of Symbolic Dynamics

Ilkka T\"orm\"a, Ville Salo

arxiv:1309.2456 v2 · 2013-09-10 · math.DS · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFFXY2HRZFTHNN2BNDBIJPSJVV}

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	2026-05-18T00:14:23.407032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

794b7c68f1c96676b74168c284be49ad40e07e3f70878735eb7b5ab7580cb4b4

Aliases

arxiv: 1309.2456 · arxiv_version: 1309.2456v2 · doi: 10.48550/arxiv.1309.2456 · pith_short_12: PFFXY2HRZFTH · pith_short_16: PFFXY2HRZFTHNN2B · pith_short_8: PFFXY2HR

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/PFFXY2HRZFTHNN2BNDBIJPSJVV \
  | 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: 794b7c68f1c96676b74168c284be49ad40e07e3f70878735eb7b5ab7580cb4b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6992c8ba19f8c97cda540ab029988dd65643044a57147fe337ad9d334b99658",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-09-10T11:07:22Z",
    "title_canon_sha256": "f48a2d66dea0fe39f9c3ec8415fbf8e2fee398c517cd5f29a5bf4f452bb05214"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2456",
    "kind": "arxiv",
    "version": 2
  }
}