Pith Number

pith:QUT65R4A

pith:2012:QUT65R4ASWBGPHCYIXWQJDRFJI

not attested not anchored not stored refs pending

Constrained energy minimization and orbital stability for the NLS equation on a star graph

C. Cacciapuoti, D. Finco, D. Noja, R. Adami

arxiv:1211.1515 v1 · 2012-11-07 · math-ph · math.AP · 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{QUT65R4ASWBGPHCYIXWQJDRFJI}

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	2026-05-18T03:41:20.815851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8527eec7809582679c5845ed048e254a059869fb035551797b0f2d38fdacf54a

Aliases

arxiv: 1211.1515 · arxiv_version: 1211.1515v1 · doi: 10.48550/arxiv.1211.1515 · pith_short_12: QUT65R4ASWBG · pith_short_16: QUT65R4ASWBGPHCY · pith_short_8: QUT65R4A

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/QUT65R4ASWBGPHCYIXWQJDRFJI \
  | 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: 8527eec7809582679c5845ed048e254a059869fb035551797b0f2d38fdacf54a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8737377a2d145fbe704addf4a7cf7490db8e198755da2378bd18f9197e8b49c6",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-07T11:21:43Z",
    "title_canon_sha256": "19ee5a7174d277c86c62a9300adcbaeb61f08aaa7ca56771946e5535301ec576"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1515",
    "kind": "arxiv",
    "version": 1
  }
}