Pith Number

pith:ITU3IL3X

pith:2019:ITU3IL3XQ3DAMUWCDRQ2Y262MB

not attested not anchored not stored refs pending

Reducibility of Schr\"odinger equation on the sphere

Beno\^it Gr\'ebert, Roberto Feola

arxiv:1905.11964 v1 · 2019-05-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITU3IL3XQ3DAMUWCDRQ2Y262MB}

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	2026-05-17T23:44:49.819056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44e9b42f7786c60652c21c61ac6bda6061582197c21f205f19574ec5b1740748

Aliases

arxiv: 1905.11964 · arxiv_version: 1905.11964v1 · doi: 10.48550/arxiv.1905.11964 · pith_short_12: ITU3IL3XQ3DA · pith_short_16: ITU3IL3XQ3DAMUWC · pith_short_8: ITU3IL3X

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/ITU3IL3XQ3DAMUWCDRQ2Y262MB \
  | 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: 44e9b42f7786c60652c21c61ac6bda6061582197c21f205f19574ec5b1740748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "776ec63013b927ea9f930fb5420eca9a0c2d9148eb36c0d393473ac641a53dc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-28T17:36:34Z",
    "title_canon_sha256": "999b03e88b03e7b2c089072f8560846211a3011a52754466c936f7ac16bd5f9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.11964",
    "kind": "arxiv",
    "version": 1
  }
}