Pith Number

pith:Z3GPTULE

pith:2025:Z3GPTULE3PA46GFGRTFLYCX3EQ

not attested not anchored not stored refs pending

Non-equilibrium steady state for a three-mode energy cascade model

Andrea Nahmod, Gigliola Staffilani, Yao Li, Zaher Hani

arxiv:2505.16018 v1 · 2025-05-21 · math.PR · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3GPTULE3PA46GFGRTFLYCX3EQ}

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	2026-07-05T11:07:28.663131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceccf9d164dbc1cf18a68ccabc0afb240fbb3c59bf98857145d5f2fdd262ecc1

Aliases

arxiv: 2505.16018 · arxiv_version: 2505.16018v1 · doi: 10.48550/arxiv.2505.16018 · pith_short_12: Z3GPTULE3PA4 · pith_short_16: Z3GPTULE3PA46GFG · pith_short_8: Z3GPTULE

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/Z3GPTULE3PA46GFGRTFLYCX3EQ \
  | 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: ceccf9d164dbc1cf18a68ccabc0afb240fbb3c59bf98857145d5f2fdd262ecc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2be1b734f7edc67c692c89159571456afafb87b119964c92253dd032396e6a52",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-05-21T21:01:54Z",
    "title_canon_sha256": "08c2ab46f1a79f25e8f4510856300e79c003266b49d414e0f5910c24dc2e17b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.16018",
    "kind": "arxiv",
    "version": 1
  }
}