Pith Number

pith:PFJ5HEUI

pith:2026:PFJ5HEUIZ64LJPVLPH4D7NZP3Z

not attested not anchored not stored refs pending

Markov state models revisited: Principles and algorithms for unbiased observables

Daniel M. Zuckerman, David Aristof, Robert J. Webber

arxiv:2607.19452 v1 · 2026-07-21 · cond-mat.stat-mech · physics.chem-ph · q-bio.BM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFJ5HEUIZ64LJPVLPH4D7NZP3Z}

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	2026-07-23T00:23:50.489470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7953d39288cfb8b4beab79f83fb72fde6f963d1e209e07f170b33051df1c55ff

Aliases

arxiv: 2607.19452 · arxiv_version: 2607.19452v1 · doi: 10.48550/arxiv.2607.19452 · pith_short_12: PFJ5HEUIZ64L · pith_short_16: PFJ5HEUIZ64LJPVL · pith_short_8: PFJ5HEUI

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/PFJ5HEUIZ64LJPVLPH4D7NZP3Z \
  | 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: 7953d39288cfb8b4beab79f83fb72fde6f963d1e209e07f170b33051df1c55ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "487c269aa1b03caca4a67520a7f2ffeae8cba38a36a84f237592ec2efb98e7c4",
    "cross_cats_sorted": [
      "physics.chem-ph",
      "q-bio.BM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-07-21T14:02:13Z",
    "title_canon_sha256": "1a17146945446b56d668cf005bfc05d7cb017a3a5287761442d0d8a580726595"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19452",
    "kind": "arxiv",
    "version": 1
  }
}