pith. sign in
Pith Number

pith:WM7AT6TI

pith:2014:WM7AT6TIYZAUDCF26VO5TFOD7D
not attested not anchored not stored refs pending

Global bounds for the cubic nonlinear Schr\"odinger equation (NLS) in one space dimension

Daniel Tataru, Mihaela Ifrim

arxiv:1404.7581 v2 · 2014-04-30 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WM7AT6TIYZAUDCF26VO5TFOD7D}

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 2026-05-18T02:40:18.267308Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b33e09fa68c6414188baf55dd995c3f8c6157dd032e2d6032a7166e20cf8492c

Aliases

arxiv: 1404.7581 · arxiv_version: 1404.7581v2 · doi: 10.48550/arxiv.1404.7581 · pith_short_12: WM7AT6TIYZAU · pith_short_16: WM7AT6TIYZAUDCF2 · pith_short_8: WM7AT6TI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WM7AT6TIYZAUDCF26VO5TFOD7D \
  | 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: b33e09fa68c6414188baf55dd995c3f8c6157dd032e2d6032a7166e20cf8492c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0410239f9929f936833dcf0173f5171954b2e5f2eb360d19d959c515c95ac52e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-04-30T03:04:31Z",
    "title_canon_sha256": "256ea3e1a104a2372f984d101bb926abd160290aef4662aec0cfb6f5c3feaa80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7581",
    "kind": "arxiv",
    "version": 2
  }
}