Pith Number

pith:HFYCYUGF

pith:2016:HFYCYUGFZTL37SUTI3IWXSKVDX

not attested not anchored not stored refs pending

A complex Ruelle-Perron-Frobenius theorem for infinite Markov shifts with applications to renewal theory

Mark Kesseb\"ohmer, Sabrina Kombrink

arxiv:1604.08252 v1 · 2016-04-27 · 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{HFYCYUGFZTL37SUTI3IWXSKVDX}

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	2026-05-18T00:33:32.554596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39702c50c5ccd7bfca9346d16bc9551dfe0d44780a996c8a2aa5bd39b8264300

Aliases

arxiv: 1604.08252 · arxiv_version: 1604.08252v1 · doi: 10.48550/arxiv.1604.08252 · pith_short_12: HFYCYUGFZTL3 · pith_short_16: HFYCYUGFZTL37SUT · pith_short_8: HFYCYUGF

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/HFYCYUGFZTL37SUTI3IWXSKVDX \
  | 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: 39702c50c5ccd7bfca9346d16bc9551dfe0d44780a996c8a2aa5bd39b8264300

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dc283c8f44c01cd7f7ee049fd4479c4d99c7fce00eb5c6d96b088609d0f452c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-04-27T21:42:09Z",
    "title_canon_sha256": "10db39ee95d9895e74c5c41ea0cc15d714631e5a4af73e57b2f2dd83f56ae7e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08252",
    "kind": "arxiv",
    "version": 1
  }
}