Pith Number

pith:TJE62HHE

pith:2014:TJE62HHEVT2WZEDCEVOBKGU7YA

not attested not anchored not stored refs pending

Surprise probabilities in Markov chains

Alex Zhai, James Norris, Yuval Peres

arxiv:1408.0822 v1 · 2014-08-04 · 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{TJE62HHEVT2WZEDCEVOBKGU7YA}

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	2026-05-18T02:45:50.314868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a49ed1ce4acf56c9062255c151a9fc00ebb92a0795d5ab3a44ec6a446320159

Aliases

arxiv: 1408.0822 · arxiv_version: 1408.0822v1 · doi: 10.48550/arxiv.1408.0822 · pith_short_12: TJE62HHEVT2W · pith_short_16: TJE62HHEVT2WZEDC · pith_short_8: TJE62HHE

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/TJE62HHEVT2WZEDCEVOBKGU7YA \
  | 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: 9a49ed1ce4acf56c9062255c151a9fc00ebb92a0795d5ab3a44ec6a446320159

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a64ccd66ffbecb2c709fb61da5b0b4bb8af3088c6226c21fdf7181972b46d298",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-08-04T21:39:01Z",
    "title_canon_sha256": "d3f3c3fc1ba1bf9c04beaac71b8d02c9284a6c1274aef40b4aa922a97bd2f573"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0822",
    "kind": "arxiv",
    "version": 1
  }
}