Pith Number

pith:LPHMRFAV

pith:2015:LPHMRFAVYPZG2YNRUP5CEQJVSW

not attested not anchored not stored refs pending

Normalized solutions for a system of coupled cubic Schr\"odinger equations on $\mathbb{R}^3$

Louis Jeanjean, Nicola Soave, Thomas Bartsch

arxiv:1506.02262 v1 · 2015-06-07 · 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{LPHMRFAVYPZG2YNRUP5CEQJVSW}

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	2026-05-18T01:01:29.237700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bcec89415c3f26d61b1a3fa22413595b7a6134339bae4ab8a95366185663c88

Aliases

arxiv: 1506.02262 · arxiv_version: 1506.02262v1 · doi: 10.48550/arxiv.1506.02262 · pith_short_12: LPHMRFAVYPZG · pith_short_16: LPHMRFAVYPZG2YNR · pith_short_8: LPHMRFAV

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/LPHMRFAVYPZG2YNRUP5CEQJVSW \
  | 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: 5bcec89415c3f26d61b1a3fa22413595b7a6134339bae4ab8a95366185663c88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54d38cce58f5b4f7fe562b50f5e77dffc1ba4d5d5cb9b3cb79f193ad9c8631c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-07T13:38:18Z",
    "title_canon_sha256": "6b0d1b71f450cdb798adb8e9aef9da7e3d38d9066c6a5dacccbaeea737e28dba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02262",
    "kind": "arxiv",
    "version": 1
  }
}