Pith Number

pith:WZE7OD4G

pith:2016:WZE7OD4GYSNGYXGWC7ZPUWF4OL

not attested not anchored not stored refs pending

On a spectral theorem of Weyl

Nigel Higson, Qijun Tan

arxiv:1611.03396 v3 · 2016-11-10 · math.OA · math.CA · 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{WZE7OD4GYSNGYXGWC7ZPUWF4OL}

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.

Cited by

1 paper in Pith

Families of Symmetries and the Hydrogen Atom

Receipt and verification

First computed	2026-07-05T00:00:22.148427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b649f70f86c49a6c5cd617f2fa58bc72fcabe15a0ca1dde78a6fd63eecf236cb

Aliases

arxiv: 1611.03396 · arxiv_version: 1611.03396v3 · doi: 10.48550/arxiv.1611.03396 · pith_short_12: WZE7OD4GYSNG · pith_short_16: WZE7OD4GYSNGYXGW · pith_short_8: WZE7OD4G

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/WZE7OD4GYSNGYXGWC7ZPUWF4OL \
  | 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: b649f70f86c49a6c5cd617f2fa58bc72fcabe15a0ca1dde78a6fd63eecf236cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3d0c55de1d9b10344515ca46e6e50c46b76a47b110bda763263db8f333806e1",
    "cross_cats_sorted": [
      "math.CA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-11-10T17:00:45Z",
    "title_canon_sha256": "2b0bb47e00b800c1c129ab79c3685b36dd3cc886f275458e0176809765bc5d9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03396",
    "kind": "arxiv",
    "version": 3
  }
}