Pith Number

pith:DDIWJ6X3

pith:2017:DDIWJ6X3DB6URLSUZS46Z4POQY

not attested not anchored not stored refs pending

The $L^2$-cutoffs for reversible Markov chains

Guan-Yu Chen, Jui-Ming Hsu, Yuan-Chung Sheu

arxiv:1701.06663 v1 · 2017-01-23 · 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{DDIWJ6X3DB6URLSUZS46Z4POQY}

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	2026-05-18T00:52:12.419884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18d164fafb187d48ae54ccb9ecf1ee86174f69669104e4bf1db436ac1e6c3fee

Aliases

arxiv: 1701.06663 · arxiv_version: 1701.06663v1 · doi: 10.48550/arxiv.1701.06663 · pith_short_12: DDIWJ6X3DB6U · pith_short_16: DDIWJ6X3DB6URLSU · pith_short_8: DDIWJ6X3

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/DDIWJ6X3DB6URLSUZS46Z4POQY \
  | 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: 18d164fafb187d48ae54ccb9ecf1ee86174f69669104e4bf1db436ac1e6c3fee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce98425413d888cb8b70cd2973689065a4f8f069cc35056a34baa8ece6b6bcd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-01-23T22:50:17Z",
    "title_canon_sha256": "75d8a4478cfa3303e42e16b381cc56496548e9888b6bcc44563c53f5a24641c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06663",
    "kind": "arxiv",
    "version": 1
  }
}