Pith Number

pith:EPUP5U37

pith:2009:EPUP5U37DVGGHUVIRASLXC2W7R

not attested not anchored not stored refs pending

Global well-posedness for the defocusing, cubic, nonlinear Schrodinger equation when n = 3 via a linear-nonlinear decomposition

Benjamin Dodson

arxiv:0910.2260 v2 · 2009-10-12 · 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{EPUP5U37DVGGHUVIRASLXC2W7R}

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	2026-05-18T04:10:57.324539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23e8fed37f1d4c63d2a88824bb8b56fc710af2b4a5f6dbd5bd0ba3780e0f2f01

Aliases

arxiv: 0910.2260 · arxiv_version: 0910.2260v2 · doi: 10.48550/arxiv.0910.2260 · pith_short_12: EPUP5U37DVGG · pith_short_16: EPUP5U37DVGGHUVI · pith_short_8: EPUP5U37

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/EPUP5U37DVGGHUVIRASLXC2W7R \
  | 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: 23e8fed37f1d4c63d2a88824bb8b56fc710af2b4a5f6dbd5bd0ba3780e0f2f01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3197bd14466558907e566497da7513ada8f275015bec889ce635b48d4e6412dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-10-12T22:15:54Z",
    "title_canon_sha256": "480ca0f9e0187cfefcd5923d234764b670b6d7b5f166c6cdab1216006c5e6d43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2260",
    "kind": "arxiv",
    "version": 2
  }
}