Pith Number

pith:VBKDZKZH

pith:2012:VBKDZKZH4GZ67ZJYKBVIGEE2EP

not attested not anchored not stored refs pending

Stable Adiabatic Times for Markov Chains

Kyle Bradford, Thinh Nguyen, Yevgeniy Kovchegov

arxiv:1207.4733 v2 · 2012-07-19 · 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{VBKDZKZH4GZ67ZJYKBVIGEE2EP}

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	2026-05-18T02:21:08.179138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8543cab27e1b3efe538506a83109a23f38fbb961d2304d632e020046a69339d

Aliases

arxiv: 1207.4733 · arxiv_version: 1207.4733v2 · doi: 10.48550/arxiv.1207.4733 · pith_short_12: VBKDZKZH4GZ6 · pith_short_16: VBKDZKZH4GZ67ZJY · pith_short_8: VBKDZKZH

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/VBKDZKZH4GZ67ZJYKBVIGEE2EP \
  | 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: a8543cab27e1b3efe538506a83109a23f38fbb961d2304d632e020046a69339d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8b963a60cd5f16087e00456b3b06e617b165362bd9de741f5a3d7b69067784b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-19T17:02:11Z",
    "title_canon_sha256": "1c229228e6ee89ed4b8f3adf82fb80e8d1d9f65b5dab6c119bb195655114af34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4733",
    "kind": "arxiv",
    "version": 2
  }
}