Pith Number

pith:EGFFVM3L

pith:2019:EGFFVM3LQUSBIH6MUFUXEDGRBC

not attested not anchored not stored refs pending

Strong law of large numbers for a function of the local times of a transient random walk in $\mathbb Z^d$

D. Korshunov, I. M. Asymont

arxiv:1908.06611 v1 · 2019-08-19 · 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{EGFFVM3LQUSBIH6MUFUXEDGRBC}

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	2026-07-04T23:58:17.713241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

218a5ab36b8524141fcca169720cd1089313ceb49986350742aa3ebb542881b4

Aliases

arxiv: 1908.06611 · arxiv_version: 1908.06611v1 · doi: 10.48550/arxiv.1908.06611 · pith_short_12: EGFFVM3LQUSB · pith_short_16: EGFFVM3LQUSBIH6M · pith_short_8: EGFFVM3L

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/EGFFVM3LQUSBIH6MUFUXEDGRBC \
  | 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: 218a5ab36b8524141fcca169720cd1089313ceb49986350742aa3ebb542881b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9dd9838fb46b12c6d6f779a057264753131f04dc801d326775af506002d9536",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-19T06:39:47Z",
    "title_canon_sha256": "fdffbb8dfd28d7b72730d70776ae3cd1ac56f2c02f9e1f456ad8c31a9704fbbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06611",
    "kind": "arxiv",
    "version": 1
  }
}