Pith Number

pith:74RWOPUC

pith:2018:74RWOPUC2E32XPRAMBCUUJMLGA

not attested not anchored not stored refs pending

On strong stationary times and approximation of Markov chain hitting times by geometric sums

Fraser Daly

arxiv:1812.07896 v1 · 2018-12-19 · 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{74RWOPUC2E32XPRAMBCUUJMLGA}

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	2026-05-17T23:57:55.587474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff23673e82d137abbe2060454a258b30004f7e68c1e4484f63221e4e48016715

Aliases

arxiv: 1812.07896 · arxiv_version: 1812.07896v1 · doi: 10.48550/arxiv.1812.07896 · pith_short_12: 74RWOPUC2E32 · pith_short_16: 74RWOPUC2E32XPRA · pith_short_8: 74RWOPUC

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/74RWOPUC2E32XPRAMBCUUJMLGA \
  | 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: ff23673e82d137abbe2060454a258b30004f7e68c1e4484f63221e4e48016715

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cb484530138b0943d8003f008c64bebd07c746a189a5695a4dd7611e3233ef2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-19T11:58:30Z",
    "title_canon_sha256": "d1ebff75cc11a7fdd06a01a26ddcd3c74d37f69eccf3ed7be02c6723f8bea722"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07896",
    "kind": "arxiv",
    "version": 1
  }
}