Pith Number

pith:CUTUFTJS

pith:2010:CUTUFTJSIEELJ4JN3C4F67FA5M

not attested not anchored not stored refs pending

Induced topological pressure for countable state Markov shifts

Johannes Jaerisch, Marc Kesseb\"ohmer, Sanaz Lamei

arxiv:1010.2162 v1 · 2010-10-11 · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CUTUFTJSIEELJ4JN3C4F67FA5M}

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	2026-05-18T03:01:11.683747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

152742cd324108b4f12dd8b85f7ca0eb2b3cecf2e9d36278bae7d05e53cea76b

Aliases

arxiv: 1010.2162 · arxiv_version: 1010.2162v1 · doi: 10.48550/arxiv.1010.2162 · pith_short_12: CUTUFTJSIEEL · pith_short_16: CUTUFTJSIEELJ4JN · pith_short_8: CUTUFTJS

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/CUTUFTJSIEELJ4JN3C4F67FA5M \
  | 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: 152742cd324108b4f12dd8b85f7ca0eb2b3cecf2e9d36278bae7d05e53cea76b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a51450112a1b2dc337ea30350ff2d1b82b497756f582e5e5dc773c2eba433721",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-10-11T17:13:45Z",
    "title_canon_sha256": "fb257253800454835a391fa6fb1a5c6c556b53dbc6560538abde461630e79450"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2162",
    "kind": "arxiv",
    "version": 1
  }
}