Pith Number

pith:4PBYQYED

pith:2011:4PBYQYEDXKVCVPTFU3HGDH4LDR

not attested not anchored not stored refs pending

An inhomogeneous, $L^2$ critical, nonlinear Schr\"odinger equation

Fran\c{c}ois Genoud

arxiv:1110.0915 v1 · 2011-10-05 · 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{4PBYQYEDXKVCVPTFU3HGDH4LDR}

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	2026-05-18T03:40:25.771788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3c3886083baaa2abe65a6ce619f8b1c564949d1a9281ed4bfb11201a02f7bab

Aliases

arxiv: 1110.0915 · arxiv_version: 1110.0915v1 · doi: 10.48550/arxiv.1110.0915 · pith_short_12: 4PBYQYEDXKVC · pith_short_16: 4PBYQYEDXKVCVPTF · pith_short_8: 4PBYQYED

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/4PBYQYEDXKVCVPTFU3HGDH4LDR \
  | 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: e3c3886083baaa2abe65a6ce619f8b1c564949d1a9281ed4bfb11201a02f7bab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01657686cef24cec916cade24d6eb912a46adb6fbca8b5dbe6c490ffd61dc2c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-05T07:55:52Z",
    "title_canon_sha256": "423b71c2cdfee56c2833fa984abc05a578323bb9b9d50b25b51d5e7ce9fea028"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0915",
    "kind": "arxiv",
    "version": 1
  }
}