Pith Number

pith:CWHQVZYV

pith:2016:CWHQVZYV23KQTOP7E5IKYOPEAL

not attested not anchored not stored refs pending

Fourth-order Schr\"odinger type operator with singular potentials

Federica Gregorio, Sebastian Mildner

arxiv:1601.05243 v2 · 2016-01-20 · 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{CWHQVZYV23KQTOP7E5IKYOPEAL}

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	2026-05-18T01:11:43.681842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

158f0ae715d6d509b9ff2750ac39e402fde85dccefdbe94aa874c2d5d7028867

Aliases

arxiv: 1601.05243 · arxiv_version: 1601.05243v2 · doi: 10.48550/arxiv.1601.05243 · pith_short_12: CWHQVZYV23KQ · pith_short_16: CWHQVZYV23KQTOP7 · pith_short_8: CWHQVZYV

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/CWHQVZYV23KQTOP7E5IKYOPEAL \
  | 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: 158f0ae715d6d509b9ff2750ac39e402fde85dccefdbe94aa874c2d5d7028867

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f5987ca970f59247a706ad1c1a38cb7ae0d696699b370bf37a53a1b3b916d2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-20T11:47:05Z",
    "title_canon_sha256": "809e2a0d2adf39c2c1c6ff32529ac623c99ae1d3082a44a1ff81f04822bc156f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05243",
    "kind": "arxiv",
    "version": 2
  }
}