Pith Number

pith:BRCBWT3R

pith:2014:BRCBWT3RVTVJK4FHV3QBHAJVMQ

not attested not anchored not stored refs pending

A method to derive concentration of measure bounds on Markov chains

Meg Walters, Stephen Ng

arxiv:1407.6306 v3 · 2014-07-23 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BRCBWT3RVTVJK4FHV3QBHAJVMQ}

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	2026-05-18T01:16:07.465119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c441b4f71acea9570a7aee0138135641988c36cfce3e81427a4eb462b975fae

Aliases

arxiv: 1407.6306 · arxiv_version: 1407.6306v3 · doi: 10.48550/arxiv.1407.6306 · pith_short_12: BRCBWT3RVTVJ · pith_short_16: BRCBWT3RVTVJK4FH · pith_short_8: BRCBWT3R

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/BRCBWT3RVTVJK4FHV3QBHAJVMQ \
  | 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: 0c441b4f71acea9570a7aee0138135641988c36cfce3e81427a4eb462b975fae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "423da0187c8d2e35d67fdad8692006ad17e319cb6b0ca63cc6029f1be0285fc3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-07-23T17:36:20Z",
    "title_canon_sha256": "02d1fb796926a4f2ab844449be3023e171fd6c96f9bdccd85035a69fe962a1db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.6306",
    "kind": "arxiv",
    "version": 3
  }
}