Pith Number

pith:EJTKQSDG

pith:2018:EJTKQSDGNHZLWHU4ZDCWUVBMMM

not attested not anchored not stored refs pending

Self-duality of Markov processes and intertwining functions

Chiara Franceschini, Cristian Giardin\`a, Wolter Groenevelt

arxiv:1801.09433 v1 · 2018-01-29 · 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{EJTKQSDGNHZLWHU4ZDCWUVBMMM}

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	2026-05-18T00:03:08.747025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2266a8486669f2bb1e9cc8c56a542c6328525209ae9e0bd0581e7a7934efd051

Aliases

arxiv: 1801.09433 · arxiv_version: 1801.09433v1 · doi: 10.48550/arxiv.1801.09433 · pith_short_12: EJTKQSDGNHZL · pith_short_16: EJTKQSDGNHZLWHU4 · pith_short_8: EJTKQSDG

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/EJTKQSDGNHZLWHU4ZDCWUVBMMM \
  | 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: 2266a8486669f2bb1e9cc8c56a542c6328525209ae9e0bd0581e7a7934efd051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd3fe4e6c20c696e60e6e998d90234ea04ef4bcce816f5f614b3470e081e3a4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-01-29T10:24:44Z",
    "title_canon_sha256": "e52cae23fc39ab03602f8bc5255ea0ef86b4202b71121011f3396e67da629b1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09433",
    "kind": "arxiv",
    "version": 1
  }
}