Pith Number

pith:7D5RCKFA

pith:2026:7D5RCKFARVRUT3UP2FMTNAVQ2M

not attested not anchored not stored refs pending

Strong Approximations for Markov Chains Weakly Converging to Diffusions

D. Kucher, E. Mammen, V. Konakov

arxiv:2606.11142 v1 · 2026-06-09 · 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{7D5RCKFARVRUT3UP2FMTNAVQ2M}

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	2026-06-10T01:11:13.332267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8fb1128a08d6349ee8fd1593682b0d32f3e1ac77bc11059945f5e58a604395d

Aliases

arxiv: 2606.11142 · arxiv_version: 2606.11142v1 · doi: 10.48550/arxiv.2606.11142 · pith_short_12: 7D5RCKFARVRU · pith_short_16: 7D5RCKFARVRUT3UP · pith_short_8: 7D5RCKFA

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/7D5RCKFARVRUT3UP2FMTNAVQ2M \
  | 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: f8fb1128a08d6349ee8fd1593682b0d32f3e1ac77bc11059945f5e58a604395d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e17a4241172d9343ddce1cf05649f5c01a48faefa221ec66e7fba17227106741",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-09T17:30:47Z",
    "title_canon_sha256": "9c3168d4478e60fa4b69eb2a6e792c29eaaa0abc2cce5e09a9193fd7cb1b3eab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11142",
    "kind": "arxiv",
    "version": 1
  }
}