Pith Number

pith:FII54PJ6

pith:2011:FII54PJ62CN5XM6O6W4M7ELB25

not attested not anchored not stored refs pending

Spectral problems in open quantum chaos

St\'ephane Nonnenmacher (IPHT)

arxiv:1105.2457 v3 · 2011-05-12 · math-ph · math.AP · 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{FII54PJ62CN5XM6O6W4M7ELB25}

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	2026-05-18T04:09:44.192780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a11de3d3ed09bdbb3cef5b8cf9161d771fc7b79401f4f4f658447ae44202231

Aliases

arxiv: 1105.2457 · arxiv_version: 1105.2457v3 · doi: 10.48550/arxiv.1105.2457 · pith_short_12: FII54PJ62CN5 · pith_short_16: FII54PJ62CN5XM6O · pith_short_8: FII54PJ6

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/FII54PJ62CN5XM6O6W4M7ELB25 \
  | 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: 2a11de3d3ed09bdbb3cef5b8cf9161d771fc7b79401f4f4f658447ae44202231

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac9838e2750563a6b57fa0a3de15e7fa1bd8f784e877659d87d3125dd65dbb21",
    "cross_cats_sorted": [
      "math.AP",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-05-12T12:59:50Z",
    "title_canon_sha256": "8e651f3c4cc19c2a55f6b400d0237f44c67a0e18455133747d95903130d86123"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2457",
    "kind": "arxiv",
    "version": 3
  }
}