Pith Number

pith:VRYONM7E

pith:2017:VRYONM7EZ5EKWSWTZQB7M4UONP

not attested not anchored not stored refs pending

Blowup rate for mass critical rotational nonlinear Schr\"odinger equations

Nyla Basharat, Shijun Zheng, Yi Hu

arxiv:1709.07517 v4 · 2017-09-21 · 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{VRYONM7EZ5EKWSWTZQB7M4UONP}

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	2026-05-17T23:45:10.097062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac70e6b3e4cf48ab4ad3cc03f6728e6bfde49d89d0d5f53122f43ce2a4cab873

Aliases

arxiv: 1709.07517 · arxiv_version: 1709.07517v4 · doi: 10.48550/arxiv.1709.07517 · pith_short_12: VRYONM7EZ5EK · pith_short_16: VRYONM7EZ5EKWSWT · pith_short_8: VRYONM7E

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/VRYONM7EZ5EKWSWTZQB7M4UONP \
  | 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: ac70e6b3e4cf48ab4ad3cc03f6728e6bfde49d89d0d5f53122f43ce2a4cab873

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e99aa1b402e5e879292ceb4f6cbc049f38527396944a2e28f203163fc472485",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-21T21:11:08Z",
    "title_canon_sha256": "984616586b12ac136a3988620207d8b919a10d86b3cd86c03f2f1590e6a638f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07517",
    "kind": "arxiv",
    "version": 4
  }
}