Pith Number

pith:CCSGSXKK

pith:2012:CCSGSXKKGZZEVKGX5PRMJOLFB6

not attested not anchored not stored refs pending

Nonlinear fractional Schr\"odinger equations in one dimension

Alexandru D. Ionescu, Fabio Pusateri

arxiv:1209.4943 v1 · 2012-09-22 · 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{CCSGSXKKGZZEVKGX5PRMJOLFB6}

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	2026-05-18T03:44:59.615958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10a4695d4a36724aa8d7ebe2c4b9650fa1ab19443da00d7f73b38f45de4b0b32

Aliases

arxiv: 1209.4943 · arxiv_version: 1209.4943v1 · doi: 10.48550/arxiv.1209.4943 · pith_short_12: CCSGSXKKGZZE · pith_short_16: CCSGSXKKGZZEVKGX · pith_short_8: CCSGSXKK

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/CCSGSXKKGZZEVKGX5PRMJOLFB6 \
  | 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: 10a4695d4a36724aa8d7ebe2c4b9650fa1ab19443da00d7f73b38f45de4b0b32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac169129952c01eb903c981c77e594a1b5a44f5be46f73376db7e4e63733f4ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-22T00:16:26Z",
    "title_canon_sha256": "cbeecb3d067ca1c3d9873d0784e24e9f23563c37e09e3e3728be95885d512980"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4943",
    "kind": "arxiv",
    "version": 1
  }
}