Pith Number

pith:VOA7THPG

pith:2018:VOA7THPGJZHHCPTPHZRZNVTUQW

not attested not anchored not stored refs pending

Large Deviation Principles for countable Markov shifts

Hiroki Takahasi

arxiv:1802.09776 v4 · 2018-02-27 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOA7THPGJZHHCPTPHZRZNVTUQW}

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	2026-05-17T23:51:06.041654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab81f99de64e4e713e6f3e6396d67485b07fba4b7702346560cb009aa4dda5db

Aliases

arxiv: 1802.09776 · arxiv_version: 1802.09776v4 · doi: 10.48550/arxiv.1802.09776 · pith_short_12: VOA7THPGJZHH · pith_short_16: VOA7THPGJZHHCPTP · pith_short_8: VOA7THPG

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/VOA7THPGJZHHCPTPHZRZNVTUQW \
  | 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: ab81f99de64e4e713e6f3e6396d67485b07fba4b7702346560cb009aa4dda5db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41473911363317201655c100d0226e1f26ce06611eb99c0c2d86b8d7f27801ce",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-02-27T08:50:09Z",
    "title_canon_sha256": "1a849bc42bfd1ed5e3a2f6df4c49f9776c4d7c8cffb4a7e846c13cac85c22704"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09776",
    "kind": "arxiv",
    "version": 4
  }
}