Pith Number

pith:DPXRQDPV

pith:2018:DPXRQDPVAX6HTGTU3AW3JH75QU

not attested not anchored not stored refs pending

Mixing Times and Hitting Times for General Markov Processes

Aaron Smith, Haosui Duanmu, Robert M. Anderson

arxiv:1810.06087 v2 · 2018-10-14 · 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{DPXRQDPVAX6HTGTU3AW3JH75QU}

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	2026-05-17T23:49:27.533995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bef180df505fc799a74d82db49ffd853c949fd73a615c26501cfaeffa8e92b3

Aliases

arxiv: 1810.06087 · arxiv_version: 1810.06087v2 · doi: 10.48550/arxiv.1810.06087 · pith_short_12: DPXRQDPVAX6H · pith_short_16: DPXRQDPVAX6HTGTU · pith_short_8: DPXRQDPV

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/DPXRQDPVAX6HTGTU3AW3JH75QU \
  | 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: 1bef180df505fc799a74d82db49ffd853c949fd73a615c26501cfaeffa8e92b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c9f8c0e42e4e69f628b9aa1493257f1b89a04c2900c8a37dac936eea6851829",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-10-14T19:27:35Z",
    "title_canon_sha256": "46aad7d44bc19eec044457b18aa829e9cb8430f1a0320256fac9a20972c0b149"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06087",
    "kind": "arxiv",
    "version": 2
  }
}