Pith Number

pith:Z4WL6QY2

pith:2020:Z4WL6QY2ADCSJKL36BIMHIZV7E

not attested not anchored not stored refs pending

Ground state energy threshold and blow-up for NLS with competing nonlinearities

Jacopo Bellazzini, Luigi Forcella, Vladimir Georgiev

arxiv:2012.10977 v1 · 2020-12-20 · 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{Z4WL6QY2ADCSJKL36BIMHIZV7E}

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.

Cited by

1 paper in Pith

Standing waves for a Schr\"odinger system with three waves interaction

Receipt and verification

First computed	2026-07-05T03:13:01.531162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf2cbf431a00c524a97bf050c3a335f904de492b74ba6a3c44f6651497939453

Aliases

arxiv: 2012.10977 · arxiv_version: 2012.10977v1 · doi: 10.48550/arxiv.2012.10977 · pith_short_12: Z4WL6QY2ADCS · pith_short_16: Z4WL6QY2ADCSJKL3 · pith_short_8: Z4WL6QY2

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/Z4WL6QY2ADCSJKL36BIMHIZV7E \
  | 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: cf2cbf431a00c524a97bf050c3a335f904de492b74ba6a3c44f6651497939453

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77635d8aaea456bf89d18d80fe7859c410187e2fa058ebc5379cbce7a726caad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-12-20T17:04:30Z",
    "title_canon_sha256": "7b64f2b88a9ce850f64ee0949496a58945351814df25c603ad7ec05124ebaf36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.10977",
    "kind": "arxiv",
    "version": 1
  }
}