Pith Number

pith:V4LKDD4L

pith:2026:V4LKDD4LMOBTCITHFIDBCWXP2H

not attested not anchored not stored refs pending

Long-memory Markov chains with power-law intensities

Kyungsub Lee

arxiv:2607.20838 v1 · 2026-07-23 · math.PR · stat.ME

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4LKDD4LMOBTCITHFIDBCWXP2H}

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	2026-07-24T00:23:37.601400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af16a18f8b63833122672a06115aefd1c563a6dfd2b8e1e26ba64556de448da4

Aliases

arxiv: 2607.20838 · arxiv_version: 2607.20838v1 · doi: 10.48550/arxiv.2607.20838 · pith_short_12: V4LKDD4LMOBT · pith_short_16: V4LKDD4LMOBTCITH · pith_short_8: V4LKDD4L

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/V4LKDD4LMOBTCITHFIDBCWXP2H \
  | 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: af16a18f8b63833122672a06115aefd1c563a6dfd2b8e1e26ba64556de448da4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd602c4798b7d249eb84c458586c2855783c53c36c59e4f9094c8f4f6c6515ee",
    "cross_cats_sorted": [
      "stat.ME"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-23T01:58:48Z",
    "title_canon_sha256": "56da058bfdaca3cfaa3dda92de24611c5b92cf46ce10dc14ce6826f5fde97549"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20838",
    "kind": "arxiv",
    "version": 1
  }
}