Pith Number

pith:J567G7MS

pith:2014:J567G7MSYJCVKJR3UWO3P7WKSC

not attested not anchored not stored refs pending

Small scale quantum ergodicity in negatively curved manifolds

Xiaolong Han

arxiv:1410.3911 v3 · 2014-10-15 · math.AP · math.DS · 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{J567G7MSYJCVKJR3UWO3P7WKSC}

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	2026-05-18T01:34:25.477062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f7df37d92c24555263ba59db7feca9086fc3504e31b86afd339980d0466880a

Aliases

arxiv: 1410.3911 · arxiv_version: 1410.3911v3 · doi: 10.48550/arxiv.1410.3911 · pith_short_12: J567G7MSYJCV · pith_short_16: J567G7MSYJCVKJR3 · pith_short_8: J567G7MS

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/J567G7MSYJCVKJR3UWO3P7WKSC \
  | 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: 4f7df37d92c24555263ba59db7feca9086fc3504e31b86afd339980d0466880a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8890529f16be9a2d106c50a24b55c3c4edd6c783cd1db36f6f80641d2b5f1fbd",
    "cross_cats_sorted": [
      "math.DS",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-15T02:47:57Z",
    "title_canon_sha256": "f99a4708e7b9f3022a5efd7bd47c42c0cbc6ffa0953182e7444a53c0ceb7d541"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3911",
    "kind": "arxiv",
    "version": 3
  }
}