Pith Number

pith:TRKRMIRU

pith:2026:TRKRMIRUUIQ24VZ3E5TSISWAS3

not attested not anchored not stored refs pending

A Krieger Embedding Theorem for Near Markov Sofic Shifts

Brian Marcus, Chengyu Wu, Tom Meyerovitch

arxiv:2606.25475 v1 · 2026-06-24 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TRKRMIRUUIQ24VZ3E5TSISWAS3}

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	2026-06-25T01:18:06.361548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c55162234a221ae573b2767244ac096f99071d360e34e72149443091aafb9c3

Aliases

arxiv: 2606.25475 · arxiv_version: 2606.25475v1 · doi: 10.48550/arxiv.2606.25475 · pith_short_12: TRKRMIRUUIQ2 · pith_short_16: TRKRMIRUUIQ24VZ3 · pith_short_8: TRKRMIRU

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/TRKRMIRUUIQ24VZ3E5TSISWAS3 \
  | 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: 9c55162234a221ae573b2767244ac096f99071d360e34e72149443091aafb9c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ff03425ebff29f9cbdde86fef16b5d2cf9a6207bb44ee4c50a75f95e1c1d88c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-06-24T07:00:10Z",
    "title_canon_sha256": "5cbc755c3d0b1db9ae4d390d16ebf8b78b8e7006d020aac9be324fb883ca2178"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25475",
    "kind": "arxiv",
    "version": 1
  }
}