Pith Number

pith:JMORZR4A

pith:2017:JMORZR4APJJE7PHERSEYCXLKJU

not attested not anchored not stored refs pending

Hopf potentials for the Schr\"odinger operator

Augusto C. Ponce, Luigi Orsina

arxiv:1702.04572 v5 · 2017-02-15 · 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{JMORZR4APJJE7PHERSEYCXLKJU}

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	2026-05-18T00:10:24.563926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b1d1cc7807a524fbce48c89815d6a4d06f19578c20d846d8b591d89399ff9d5

Aliases

arxiv: 1702.04572 · arxiv_version: 1702.04572v5 · doi: 10.48550/arxiv.1702.04572 · pith_short_12: JMORZR4APJJE · pith_short_16: JMORZR4APJJE7PHE · pith_short_8: JMORZR4A

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/JMORZR4APJJE7PHERSEYCXLKJU \
  | 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: 4b1d1cc7807a524fbce48c89815d6a4d06f19578c20d846d8b591d89399ff9d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a61e91bcaa8bdeb8b90394ed601b6715939f58f5daaa231a19a037e80ed1751",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-15T12:18:27Z",
    "title_canon_sha256": "dc1362303b2f5c8fd3a5d36b2b95be721ce95027b5822e5aa58b8b3ab7cc7f3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04572",
    "kind": "arxiv",
    "version": 5
  }
}