Pith Number

pith:H7M7EWS4

pith:2026:H7M7EWS4HFK6VB6TR3J4AIGYUE

not attested not anchored not stored refs pending

Retention Profiles and KL Contraction Bounds in Finite Markov Chains

Saurav Jadhav

arxiv:2606.27073 v1 · 2026-06-25 · 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{H7M7EWS4HFK6VB6TR3J4AIGYUE}

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	2026-06-26T01:16:08.745268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fd9f25a5c3955ea87d38ed3c020d8a13078f1723e6e3bfc38a0032749f75b63

Aliases

arxiv: 2606.27073 · arxiv_version: 2606.27073v1 · doi: 10.48550/arxiv.2606.27073 · pith_short_12: H7M7EWS4HFK6 · pith_short_16: H7M7EWS4HFK6VB6T · pith_short_8: H7M7EWS4

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/H7M7EWS4HFK6VB6TR3J4AIGYUE \
  | 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: 3fd9f25a5c3955ea87d38ed3c020d8a13078f1723e6e3bfc38a0032749f75b63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ae3adc2adfbbc973cd6371d0ca5c2c0c8dd5e759d04f2fe04da93936a6d626e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-25T14:15:59Z",
    "title_canon_sha256": "35f2a0e0e1b0f68e78da778820c13278ecdfff92658c7577c6e60d113f67d3bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27073",
    "kind": "arxiv",
    "version": 1
  }
}