Pith Number

pith:DY5PPHXK

pith:2014:DY5PPHXKRGMHW5HWR5AZ2IVIK6

not attested not anchored not stored refs pending

Going beyond the threshold: scattering and blow-up in the focusing NLS equation

Svetlana Roudenko, Thomas Duyckaerts

arxiv:1409.4821 v1 · 2014-09-16 · 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{DY5PPHXKRGMHW5HWR5AZ2IVIK6}

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	2026-05-18T01:42:01.922987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e3af79eea89987b74f68f419d22a857a09e245310384ef23128a2dda95460f3

Aliases

arxiv: 1409.4821 · arxiv_version: 1409.4821v1 · doi: 10.48550/arxiv.1409.4821 · pith_short_12: DY5PPHXKRGMH · pith_short_16: DY5PPHXKRGMHW5HW · pith_short_8: DY5PPHXK

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/DY5PPHXKRGMHW5HWR5AZ2IVIK6 \
  | 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: 1e3af79eea89987b74f68f419d22a857a09e245310384ef23128a2dda95460f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "073e1b458042e9f02537bce4a6876f5136a849e5daaed61133102dab00695ef8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-16T22:14:08Z",
    "title_canon_sha256": "774b25972a5905834e0adcff4503187b2fd8ea902cf1bfaac0d6cce612c40eac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4821",
    "kind": "arxiv",
    "version": 1
  }
}