Pith Number

pith:3BVTGTI3

pith:2015:3BVTGTI3ILJTXAKJRAAJ6VAKEO

not attested not anchored not stored refs pending

Semiclassical analysis and symmetry reduction II. Equivariant quantum ergodicity for invariant Schr\"odinger operators on compact manifolds

Benjamin K\"uster, Pablo Ramacher

arxiv:1508.07381 v2 · 2015-08-29 · 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{3BVTGTI3ILJTXAKJRAAJ6VAKEO}

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	2026-05-18T01:34:07.109625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d86b334d1b42d33b814988009f540a2395b4e4d5182c623013ee988ab261c5bb

Aliases

arxiv: 1508.07381 · arxiv_version: 1508.07381v2 · doi: 10.48550/arxiv.1508.07381 · pith_short_12: 3BVTGTI3ILJT · pith_short_16: 3BVTGTI3ILJTXAKJ · pith_short_8: 3BVTGTI3

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/3BVTGTI3ILJTXAKJRAAJ6VAKEO \
  | 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: d86b334d1b42d33b814988009f540a2395b4e4d5182c623013ee988ab261c5bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa0f4b47b6c13c4b3fc9780d5f02aa8a6d952597227635423b3d6a1ed9b6d8b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-08-29T00:08:51Z",
    "title_canon_sha256": "a1808acfc8af358937bc1163d6bf551827a385c563e82ea50cfd7a9377e1fc33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07381",
    "kind": "arxiv",
    "version": 2
  }
}