Pith Number

pith:BB2J7SVV

pith:2014:BB2J7SVVDILKBW65EUBETINFXA

not attested not anchored not stored refs pending

Global existence, scattering and blow-up for the focusing NLS on the hyperbolic space

Thomas Duyckaerts, Valeria Banica

arxiv:1411.0846 v2 · 2014-11-04 · 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{BB2J7SVVDILKBW65EUBETINFXA}

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	2026-05-18T02:37:37.944741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08749fcab51a16a0dbdd250249a1a5b8250940544b356b3c06bd2325a3666243

Aliases

arxiv: 1411.0846 · arxiv_version: 1411.0846v2 · doi: 10.48550/arxiv.1411.0846 · pith_short_12: BB2J7SVVDILK · pith_short_16: BB2J7SVVDILKBW65 · pith_short_8: BB2J7SVV

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/BB2J7SVVDILKBW65EUBETINFXA \
  | 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: 08749fcab51a16a0dbdd250249a1a5b8250940544b356b3c06bd2325a3666243

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5577d8e6b7ff138092fe42928364bb2341a7e0cfe62c54ffaf2f7e555dacf2b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-04T10:14:37Z",
    "title_canon_sha256": "ed9555aabe02746d5cedd5c7a46eecd828e7f19fbf6dd3e674c44b8341c29a8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0846",
    "kind": "arxiv",
    "version": 2
  }
}