Pith Number

pith:ENBPH7CA

pith:2009:ENBPH7CARDMHRTYW6VVLBE2V3D

not attested not anchored not stored refs pending

Recent developments in mathematical Quantum Chaos

S. Zelditch

arxiv:0911.4312 v1 · 2009-11-23 · math.AP · math-ph · 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{ENBPH7CARDMHRTYW6VVLBE2V3D}

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	2026-05-18T04:32:19.648395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2342f3fc4088d878cf16f56ab09355d8cbeb8fea919de1f6c71a251d5e005149

Aliases

arxiv: 0911.4312 · arxiv_version: 0911.4312v1 · doi: 10.48550/arxiv.0911.4312 · pith_short_12: ENBPH7CARDMH · pith_short_16: ENBPH7CARDMHRTYW · pith_short_8: ENBPH7CA

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/ENBPH7CARDMHRTYW6VVLBE2V3D \
  | 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: 2342f3fc4088d878cf16f56ab09355d8cbeb8fea919de1f6c71a251d5e005149

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e69efef1e0727e79cb88ff41dca4373940b3519e876ebffc9a10607db8b0d16",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-11-23T00:08:26Z",
    "title_canon_sha256": "fc6cdeb520a4288a8cafae5443ff3a69554429aac4b89df22534e1c066e8885f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4312",
    "kind": "arxiv",
    "version": 1
  }
}