Pith Number

pith:NRYVRQHB

pith:2013:NRYVRQHB7GDN56UFQN5JZE53G2

not attested not anchored not stored refs pending

Quantum ergodicity on large regular graphs

Etienne Le Masson (LM-Orsay), Nalini Anantharaman (LM-Orsay)

arxiv:1304.4343 v2 · 2013-04-16 · math-ph · math.MP · math.PR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NRYVRQHB7GDN56UFQN5JZE53G2}

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	2026-05-18T01:28:15.272367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c7158c0e1f986defa85837a9c93bb369cd3148f4cf61a7bab17dd21dfc5b3be

Aliases

arxiv: 1304.4343 · arxiv_version: 1304.4343v2 · doi: 10.48550/arxiv.1304.4343 · pith_short_12: NRYVRQHB7GDN · pith_short_16: NRYVRQHB7GDN56UF · pith_short_8: NRYVRQHB

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/NRYVRQHB7GDN56UFQN5JZE53G2 \
  | 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: 6c7158c0e1f986defa85837a9c93bb369cd3148f4cf61a7bab17dd21dfc5b3be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efa5e2239f98ea4f9d32fa21b17057496e6c9f5b6ed7a25e07a79ce1300e6182",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-04-16T06:43:18Z",
    "title_canon_sha256": "ca56a53d55dbcf8545cc9f9f23f47be350d40f7f36d15ab9af7afa845c2b79ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4343",
    "kind": "arxiv",
    "version": 2
  }
}