Pith Number

pith:XJIPPJMU

pith:2017:XJIPPJMUUZ2CBBULY27SVSEOSY

not attested not anchored not stored refs pending

Observability and quantum limits for the Schr\"odinger equation on the sphere

Fabricio Maci\`a (UPM), Gabriel Riviere

arxiv:1702.02066 v1 · 2017-02-07 · math.AP · math-ph · math.MP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJIPPJMUUZ2CBBULY27SVSEOSY}

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	2026-05-18T00:51:10.425850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba50f7a594a67420868bc6bf2ac88e96339d08c33397a2392e748aeab86cd7d7

Aliases

arxiv: 1702.02066 · arxiv_version: 1702.02066v1 · doi: 10.48550/arxiv.1702.02066 · pith_short_12: XJIPPJMUUZ2C · pith_short_16: XJIPPJMUUZ2CBBUL · pith_short_8: XJIPPJMU

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/XJIPPJMUUZ2CBBULY27SVSEOSY \
  | 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: ba50f7a594a67420868bc6bf2ac88e96339d08c33397a2392e748aeab86cd7d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d56d192f13da0d2767cb582dc9bb2a9dd906dcd931d0e32ef00b0f2543ca96c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-07T15:37:09Z",
    "title_canon_sha256": "407e75d827d87aa45782dfd04ff7720d27858198857e870459516e969c94529b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02066",
    "kind": "arxiv",
    "version": 1
  }
}