Pith Number

pith:WSXZXANI

pith:2019:WSXZXANIR4OHQMO6UZCJDXXW2F

not attested not anchored not stored refs pending

Global dynamics below the ground state for the focusing Schr\"odinger equation with a potential

Masahiro Ikeda, Masaru Hamano

arxiv:1903.03830 v1 · 2019-03-09 · 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{WSXZXANIR4OHQMO6UZCJDXXW2F}

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	2026-05-17T23:51:40.829552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4af9b81a88f1c7831dea64491def6d14516b1127c1d771577b1f8e00a7a836c

Aliases

arxiv: 1903.03830 · arxiv_version: 1903.03830v1 · doi: 10.48550/arxiv.1903.03830 · pith_short_12: WSXZXANIR4OH · pith_short_16: WSXZXANIR4OHQMO6 · pith_short_8: WSXZXANI

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/WSXZXANIR4OHQMO6UZCJDXXW2F \
  | 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: b4af9b81a88f1c7831dea64491def6d14516b1127c1d771577b1f8e00a7a836c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "202617df30fc655daf82995f80120a03e60f0db3fc4b37857931b95c65051989",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-09T17:27:22Z",
    "title_canon_sha256": "61328235ea612a1c09f0f01fd6d6b43ef9f8672ba84d4d0be6aa4f550beb6740"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03830",
    "kind": "arxiv",
    "version": 1
  }
}