Pith Number

pith:LNLX3DIL

pith:2014:LNLX3DIL22V53QJXSRHH7ZXKI4

not attested not anchored not stored refs pending

The radial defocusing nonlinear Schr\"odinger equation in three space dimensions

Jason Murphy

arxiv:1401.4766 v1 · 2014-01-20 · 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{LNLX3DIL22V53QJXSRHH7ZXKI4}

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	2026-05-18T02:29:23.531479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b577d8d0bd6abddc137944e7fe6ea473c351e1cc4a31fedc72446e6d7a8c12a

Aliases

arxiv: 1401.4766 · arxiv_version: 1401.4766v1 · doi: 10.48550/arxiv.1401.4766 · pith_short_12: LNLX3DIL22V5 · pith_short_16: LNLX3DIL22V53QJX · pith_short_8: LNLX3DIL

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/LNLX3DIL22V53QJXSRHH7ZXKI4 \
  | 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: 5b577d8d0bd6abddc137944e7fe6ea473c351e1cc4a31fedc72446e6d7a8c12a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47a99bdd6a083c5e4fe6b3b1f12eeb52acfa143459a6b98a1e8c53f244ae5d42",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-01-20T01:47:20Z",
    "title_canon_sha256": "c4ae1d708239702b30c11941ff5c46c969f07d5363119e06ed282293309c5b92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4766",
    "kind": "arxiv",
    "version": 1
  }
}