Pith Number

pith:F2CVJ2C2

pith:2020:F2CVJ2C2EKNJ6W45DK6MH7BR7A

not attested not anchored not stored refs pending

The nonlinear Schr\"odinger equation for orthonormal functions: II. Application to Lieb-Thirring inequalities

David Gontier, Mathieu Lewin, Rupert L. Frank

arxiv:2002.04964 v3 · 2020-02-12 · math.AP · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F2CVJ2C2EKNJ6W45DK6MH7BR7A}

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	2026-07-05T02:44:47.982663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e8554e85a229a9f5b9d1abcc3fc31f8158df99f2c0655bb0570cc6e83aa20c8

Aliases

arxiv: 2002.04964 · arxiv_version: 2002.04964v3 · doi: 10.48550/arxiv.2002.04964 · pith_short_12: F2CVJ2C2EKNJ · pith_short_16: F2CVJ2C2EKNJ6W45 · pith_short_8: F2CVJ2C2

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/F2CVJ2C2EKNJ6W45DK6MH7BR7A \
  | 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: 2e8554e85a229a9f5b9d1abcc3fc31f8158df99f2c0655bb0570cc6e83aa20c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23e534204e9c32a5b7f8b7546f6077199c96bc72f49777afb918bbcdb144eb32",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-02-12T13:13:04Z",
    "title_canon_sha256": "79f9315ca1dfef2f6a54d429e506dc56ec0998f2ba893d1658d7cc6355ff7aea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.04964",
    "kind": "arxiv",
    "version": 3
  }
}