Pith Number

pith:M3ONRMG5

pith:2013:M3ONRMG5JNAKRQHGVVFCOLFKAE

not attested not anchored not stored refs pending

Unfolding of the Spectrum for Chaotic and Mixed Systems

Adel Y. Abul-Magd, Ashraf A. Abul-Magd

arxiv:1311.2419 v1 · 2013-11-11 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3ONRMG5JNAKRQHGVVFCOLFKAE}

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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.

Cited by

1 paper in Pith

Quantum chaotic systems: a random-matrix approach

Receipt and verification

First computed	2026-05-18T03:04:48.158908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66dcd8b0dd4b40a8c0e6ad4a272caa01099faf5ecda8ead75b12948b25fb94c8

Aliases

arxiv: 1311.2419 · arxiv_version: 1311.2419v1 · doi: 10.48550/arxiv.1311.2419 · pith_short_12: M3ONRMG5JNAK · pith_short_16: M3ONRMG5JNAKRQHG · pith_short_8: M3ONRMG5

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/M3ONRMG5JNAKRQHGVVFCOLFKAE \
  | 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: 66dcd8b0dd4b40a8c0e6ad4a272caa01099faf5ecda8ead75b12948b25fb94c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aa49e18c8d3c777de1cb0a140f6b5f3113739b36e16a9cf72a8a87b7147169d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-11-11T11:28:41Z",
    "title_canon_sha256": "bbc7aa728dc642040854d7b9e456dff280ea13059ff2e6d6e0180c7634d7636b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2419",
    "kind": "arxiv",
    "version": 1
  }
}