Pith Number

pith:7B5T6UFD

pith:2025:7B5T6UFDJWNAPIZL226K3A4NZM

not attested not anchored not stored refs pending

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators

Benjamin Lindner, Max Kreider, Peter J. Thomas

arxiv:2505.02955 v1 · 2025-05-05 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7B5T6UFDJWNAPIZL226K3A4NZM}

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.

Cited by

1 paper in Pith

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions

Receipt and verification

First computed	2026-07-05T12:00:00.664587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f87b3f50a34d9a07a32bd6bcad838dcb28c88bbb642f7cf67586af4fbb1d402e

Aliases

arxiv: 2505.02955 · arxiv_version: 2505.02955v1 · doi: 10.48550/arxiv.2505.02955 · pith_short_12: 7B5T6UFDJWNA · pith_short_16: 7B5T6UFDJWNAPIZL · pith_short_8: 7B5T6UFD

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/7B5T6UFDJWNAPIZL226K3A4NZM \
  | 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: f87b3f50a34d9a07a32bd6bcad838dcb28c88bbb642f7cf67586af4fbb1d402e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3220e8583f4f502a38d84b44bf34b8b677ac316c003e2b435ae2d666ccb9062a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-05-05T18:34:42Z",
    "title_canon_sha256": "c99db2c66b3913e65a94cc3ba6d3f3b205622f5f3b71376dea43b6d92c386126"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.02955",
    "kind": "arxiv",
    "version": 1
  }
}