Pith Number

pith:DM7NM45U

pith:2026:DM7NM45UKKXXEVSZ2TDTUWA46C

not attested not anchored not stored refs pending

Strong Feller property via moment method

Shengquan Xiang, Ziyu Liu

arxiv:2605.26439 v1 · 2026-05-26 · 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{DM7NM45UKKXXEVSZ2TDTUWA46C}

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	2026-05-27T01:05:17.979460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b3ed673b452af725659d4c73a581cf0854f3b33c010ba5b37bda4a9a29aa2dc

Aliases

arxiv: 2605.26439 · arxiv_version: 2605.26439v1 · doi: 10.48550/arxiv.2605.26439 · pith_short_12: DM7NM45UKKXX · pith_short_16: DM7NM45UKKXXEVSZ · pith_short_8: DM7NM45U

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/DM7NM45UKKXXEVSZ2TDTUWA46C \
  | 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: 1b3ed673b452af725659d4c73a581cf0854f3b33c010ba5b37bda4a9a29aa2dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c72f76389ef1a4b437cb1907b82876870d2ccf4774fc336bfc7e14897e02038b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-26T01:53:13Z",
    "title_canon_sha256": "d62878c4f87e79aa80edfbf5cec44ade07648cbe6a623566d3cd186a7b629cdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26439",
    "kind": "arxiv",
    "version": 1
  }
}