Pith Number

pith:36L7RWVW

pith:2012:36L7RWVWJOT7UNBR3A3SY75F6H

not attested not anchored not stored refs pending

On the structure of critical energy levels for the cubic focusing NLS on star graphs

Claudio Cacciapuoti, Diego Noja, Domenico Finco, Riccardo Adami

arxiv:1202.2890 v1 · 2012-02-13 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{36L7RWVWJOT7UNBR3A3SY75F6H}

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	2026-05-18T01:58:28.940244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df97f8dab64ba7fa3431d8372c7fa5f1dbc1678e39fe52f30987200a9b1bd58a

Aliases

arxiv: 1202.2890 · arxiv_version: 1202.2890v1 · doi: 10.48550/arxiv.1202.2890 · pith_short_12: 36L7RWVWJOT7 · pith_short_16: 36L7RWVWJOT7UNBR · pith_short_8: 36L7RWVW

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/36L7RWVWJOT7UNBR3A3SY75F6H \
  | 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: df97f8dab64ba7fa3431d8372c7fa5f1dbc1678e39fe52f30987200a9b1bd58a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5efa0e7904bf1f83a823d73ea4111e66d9d911f24ac6d8d0436a24ea557d22c4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-13T23:04:58Z",
    "title_canon_sha256": "545efe812785cf2a604fc7182ab7f3369966cdf4c8a5ea34244ffda7e9417398"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2890",
    "kind": "arxiv",
    "version": 1
  }
}