Pith Number

pith:RFOZDFVE

pith:2016:RFOZDFVE3QYJOHMVTESLKOZ2CY

not attested not anchored not stored refs pending

Spherical Schr\"odinger Hamiltonians: Spectral Analysis and Time Decay

Luca Fanelli

arxiv:1611.04805 v1 · 2016-11-15 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RFOZDFVE3QYJOHMVTESLKOZ2CY}

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	2026-05-18T00:58:49.840906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

895d9196a4dc30971d959924b53b3a161b380b8755e74af042b9cf7e03efe058

Aliases

arxiv: 1611.04805 · arxiv_version: 1611.04805v1 · doi: 10.48550/arxiv.1611.04805 · pith_short_12: RFOZDFVE3QYJ · pith_short_16: RFOZDFVE3QYJOHMV · pith_short_8: RFOZDFVE

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/RFOZDFVE3QYJOHMVTESLKOZ2CY \
  | 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: 895d9196a4dc30971d959924b53b3a161b380b8755e74af042b9cf7e03efe058

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9741c5f310e02bf3881cf3cb0bbe68763a6f2b2bf140c4af2e1c70d88417dc95",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-11-15T12:30:55Z",
    "title_canon_sha256": "fe9cff9e8bf084b940091983a3ef985e03023ff6f9883986489fa52168abb870"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04805",
    "kind": "arxiv",
    "version": 1
  }
}