Pith Number

pith:4Y6QAXEV

pith:2016:4Y6QAXEVDLEERM7QXADNJGWM7N

not attested not anchored not stored refs pending

Nonclassical spectral asymptotics and Dixmier traces: From circles to contact manifolds

Heiko Gimperlein, Magnus Goffeng

arxiv:1606.00413 v1 · 2016-06-01 · math.SP · math.FA · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4Y6QAXEVDLEERM7QXADNJGWM7N}

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	2026-05-18T00:41:58.381675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e63d005c951ac848b3f0b806d49accfb7c358f3c4a2dc660d355a4c7251e7bd3

Aliases

arxiv: 1606.00413 · arxiv_version: 1606.00413v1 · doi: 10.48550/arxiv.1606.00413 · pith_short_12: 4Y6QAXEVDLEE · pith_short_16: 4Y6QAXEVDLEERM7Q · pith_short_8: 4Y6QAXEV

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/4Y6QAXEVDLEERM7QXADNJGWM7N \
  | 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: e63d005c951ac848b3f0b806d49accfb7c358f3c4a2dc660d355a4c7251e7bd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ac7437dd53d3de88ed7c6d0c6789ef6a90697704128c913f874969366b3b98a",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-06-01T19:35:40Z",
    "title_canon_sha256": "657c79096b75e678a029f6fd6d00d107188af348b773ea3e00f8e1ea41904f0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00413",
    "kind": "arxiv",
    "version": 1
  }
}