Pith Number

pith:25WKVIQ3

pith:2026:25WKVIQ3RDDDQHEEM3KMXI7Q2C

not attested not anchored not stored refs pending

Stationary covariance spectra of discrete-time non-normal random recurrent dynamics

Jacob A. Zavatone-Veth

arxiv:2606.31944 v1 · 2026-06-30 · q-bio.NC · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{25WKVIQ3RDDDQHEEM3KMXI7Q2C}

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	2026-07-01T01:18:26.192439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d76caaa21b88c6381c8466d4cba3f0d0bbf4fb5103ac0fc2454c7953cc48005c

Aliases

arxiv: 2606.31944 · arxiv_version: 2606.31944v1 · doi: 10.48550/arxiv.2606.31944 · pith_short_12: 25WKVIQ3RDDD · pith_short_16: 25WKVIQ3RDDDQHEE · pith_short_8: 25WKVIQ3

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/25WKVIQ3RDDDQHEEM3KMXI7Q2C \
  | 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: d76caaa21b88c6381c8466d4cba3f0d0bbf4fb5103ac0fc2454c7953cc48005c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a01d62c79ea5f9c74fa72ddcd1b85bc21d73230ecefa09a73dbaaa55e2adb242",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.NC",
    "submitted_at": "2026-06-30T16:51:36Z",
    "title_canon_sha256": "435c615d52e4288355aa699d57e0ad7df4c32a2cc7fbb2c01c6c5fbd7b6d4353"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31944",
    "kind": "arxiv",
    "version": 1
  }
}