Pith Number

pith:7ZSIYCU7

pith:2024:7ZSIYCU7IC7SBAN75QUF5B3ULY

not attested not anchored not stored refs pending

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains

Claudio Landim, Seonwoo Kim

arxiv:2412.13515 v2 · 2024-12-18 · 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{7ZSIYCU7IC7SBAN75QUF5B3ULY}

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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	2026-07-05T10:02:25.745917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe648c0a9f40bf2081bfec285e87745e2b12e6f5fdf6e9ca4e7d15f6994a2696

Aliases

arxiv: 2412.13515 · arxiv_version: 2412.13515v2 · doi: 10.48550/arxiv.2412.13515 · pith_short_12: 7ZSIYCU7IC7S · pith_short_16: 7ZSIYCU7IC7SBAN7 · pith_short_8: 7ZSIYCU7

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/7ZSIYCU7IC7SBAN75QUF5B3ULY \
  | 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: fe648c0a9f40bf2081bfec285e87745e2b12e6f5fdf6e9ca4e7d15f6994a2696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "462cf95e351b1c471e8183a7e13bc5ffedc5dbf821feda2a687afc116a669c5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-18T05:32:19Z",
    "title_canon_sha256": "0b4913c3b85a6d3e27ff0ffd0f1b8412e62fbafa7ed31a5701ff062f1c33bf5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.13515",
    "kind": "arxiv",
    "version": 2
  }
}