Pith Number

pith:YPFAVXGG

pith:2020:YPFAVXGGV4PEW2W5QR3CZ4IEN7

not attested not anchored not stored refs pending

Threshold for Blowup and Stability for Nonlinear Schr\"odinger Equation with Rotation

Hichem Hajaiej, Nyla Basharat, Shijun Zheng, Yi Hu

arxiv:2002.04722 v2 · 2020-02-11 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPFAVXGGV4PEW2W5QR3CZ4IEN7}

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	2026-07-05T07:21:08.526186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3ca0adcc6af1e4b6add84762cf1046fe981b0063a8ab52a9425ea68168bb8e5

Aliases

arxiv: 2002.04722 · arxiv_version: 2002.04722v2 · doi: 10.48550/arxiv.2002.04722 · pith_short_12: YPFAVXGGV4PE · pith_short_16: YPFAVXGGV4PEW2W5 · pith_short_8: YPFAVXGG

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/YPFAVXGGV4PEW2W5QR3CZ4IEN7 \
  | 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: c3ca0adcc6af1e4b6add84762cf1046fe981b0063a8ab52a9425ea68168bb8e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32466b4653246c14ca8b6046e1b83b792a1e57d8606f57c2d4645e72f88730b4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-02-11T22:48:57Z",
    "title_canon_sha256": "e3173efe25cd866cc3798dd16ffb720ba9cd3f30665d179c1978cfa1a3e13432"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.04722",
    "kind": "arxiv",
    "version": 2
  }
}