Pith Number

pith:TTRXSQCQ

pith:2013:TTRXSQCQUPA2GHIULAMQLWUUR6

not attested not anchored not stored refs pending

Almost sure global well posedness for the radial nonlinear Schrodinger equation on the unit ball I: the 2D case

Aynur Bulut, Jean Bourgain

arxiv:1309.4072 v1 · 2013-09-16 · math.AP · 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{TTRXSQCQUPA2GHIULAMQLWUUR6}

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	2026-05-18T01:35:33.122496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ce3794050a3c1a31d14581905da948f866d3f2cc4bd4fbe9f4016141c8f8442

Aliases

arxiv: 1309.4072 · arxiv_version: 1309.4072v1 · doi: 10.48550/arxiv.1309.4072 · pith_short_12: TTRXSQCQUPA2 · pith_short_16: TTRXSQCQUPA2GHIU · pith_short_8: TTRXSQCQ

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/TTRXSQCQUPA2GHIULAMQLWUUR6 \
  | 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: 9ce3794050a3c1a31d14581905da948f866d3f2cc4bd4fbe9f4016141c8f8442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19f8f8f7e172d3ed2c390553cf05042be72764bceceb6ce6aef38c2c6f622588",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-16T19:13:10Z",
    "title_canon_sha256": "2b307ead69629f5f9360f55442fdf90d0f7a8b19ab015c3fb44256ff3704e96a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4072",
    "kind": "arxiv",
    "version": 1
  }
}