Pith Number

pith:CWFFRKEG

pith:2011:CWFFRKEGLPEHXO3EBK2JRJC53P

not attested not anchored not stored refs pending

Quantum ergodic restriction theorems, II: manifolds without boundary

J. A. Toth, S. Zelditch

arxiv:1104.4531 v2 · 2011-04-23 · 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{CWFFRKEGLPEHXO3EBK2JRJC53P}

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	2026-05-18T03:25:35.313722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

158a58a8865bc87bbb640ab498a45ddbd87e959d916391c691ba0faa67128ccc

Aliases

arxiv: 1104.4531 · arxiv_version: 1104.4531v2 · doi: 10.48550/arxiv.1104.4531 · pith_short_12: CWFFRKEGLPEH · pith_short_16: CWFFRKEGLPEHXO3E · pith_short_8: CWFFRKEG

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/CWFFRKEGLPEHXO3EBK2JRJC53P \
  | 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: 158a58a8865bc87bbb640ab498a45ddbd87e959d916391c691ba0faa67128ccc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa374c4d0613b86ec6bf98fe439614cc924558654c6f91076a823eb526eff0bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-04-23T05:12:19Z",
    "title_canon_sha256": "4e1b22ea4e2fb06e6ea699b77166d8d131e5f4574f7a784895d142646fdddc05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4531",
    "kind": "arxiv",
    "version": 2
  }
}