Pith Number

pith:3NTBKG2H

pith:2018:3NTBKG2HQSC5BJAWYEO3WPNJUI

not attested not anchored not stored refs pending

Velocity formulae between entropy and hitting time for Markov chains

Michael C.H. Choi

arxiv:1805.02162 v2 · 2018-05-06 · math.PR · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3NTBKG2HQSC5BJAWYEO3WPNJUI}

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	2026-05-18T00:12:52.308919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db66151b478485d0a416c11dbb3da9a2312e74c691b61c5d440522f2db7f8070

Aliases

arxiv: 1805.02162 · arxiv_version: 1805.02162v2 · doi: 10.48550/arxiv.1805.02162 · pith_short_12: 3NTBKG2HQSC5 · pith_short_16: 3NTBKG2HQSC5BJAW · pith_short_8: 3NTBKG2H

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/3NTBKG2HQSC5BJAWYEO3WPNJUI \
  | 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: db66151b478485d0a416c11dbb3da9a2312e74c691b61c5d440522f2db7f8070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee9111fad6f3811cb1232f69ee5ef72b7960d5fbed21f4fad054e3ed623170c9",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-06T07:09:14Z",
    "title_canon_sha256": "1fc72bc9a4709d2d03da605beb1bd443d114d4efe9e203c1548e571f37db75f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02162",
    "kind": "arxiv",
    "version": 2
  }
}