Pith Number

pith:A6FOD7VJ

pith:2018:A6FOD7VJ632PMURPRMKJSCIXHD

not attested not anchored not stored refs pending

Carr-Nadtochiy's Weak Reflection Principle for Markov Chains on $\mathbf{Z}^d$

Yuri Imamura

arxiv:1810.00418 v1 · 2018-09-30 · 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{A6FOD7VJ632PMURPRMKJSCIXHD}

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	2026-05-18T00:04:27.932406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

078ae1fea9f6f4f6522f8b1499091738e5dea0ac77a69ed0b7422408839f04d5

Aliases

arxiv: 1810.00418 · arxiv_version: 1810.00418v1 · doi: 10.48550/arxiv.1810.00418 · pith_short_12: A6FOD7VJ632P · pith_short_16: A6FOD7VJ632PMURP · pith_short_8: A6FOD7VJ

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/A6FOD7VJ632PMURPRMKJSCIXHD \
  | 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: 078ae1fea9f6f4f6522f8b1499091738e5dea0ac77a69ed0b7422408839f04d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd02ee56e83eb2963da93e011088375f1bb2bc924fa83ba75c56c8d688b6fe80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-09-30T16:37:04Z",
    "title_canon_sha256": "e3a3f9d56cee07096b9aa6e509e3fbc7b5320bf98688b97e73c62a24002414aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.00418",
    "kind": "arxiv",
    "version": 1
  }
}