Pith Number

pith:4SU3NWI6

pith:2015:4SU3NWI6LIRMHKUJW7O5LJTBJB

not attested not anchored not stored refs pending

Countable Alphabet Random Subhifts of finite type with weakly positive transfer operator

Mariusz Urbanski, Volker Mayer

arxiv:1505.05645 v1 · 2015-05-21 · 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{4SU3NWI6LIRMHKUJW7O5LJTBJB}

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	2026-05-18T01:34:22.710765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4a9b6d91e5a22c3aa89b7ddd5a661484140ea28da7c9b199a1cc6498311a56a

Aliases

arxiv: 1505.05645 · arxiv_version: 1505.05645v1 · doi: 10.48550/arxiv.1505.05645 · pith_short_12: 4SU3NWI6LIRM · pith_short_16: 4SU3NWI6LIRMHKUJ · pith_short_8: 4SU3NWI6

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/4SU3NWI6LIRMHKUJW7O5LJTBJB \
  | 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: e4a9b6d91e5a22c3aa89b7ddd5a661484140ea28da7c9b199a1cc6498311a56a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "997c7d073f09c092b5c3c937b7a8d386a6e9f1f55aa311e5e0ed6e023f0f88ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-05-21T08:35:46Z",
    "title_canon_sha256": "59dffffeca58599b15a0f7963e50cfed92a9e29b4adaca617b69cccbbc28abf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05645",
    "kind": "arxiv",
    "version": 1
  }
}