Pith Number

pith:QMQHTH3C

pith:2020:QMQHTH3CDM6HTHW6VRJSNHNT53

not attested not anchored not stored refs pending

Global well-posedness for the cubic nonlinear Schr{\"o}dinger equation with initial lying in $L^{p}$-based Sobolev spaces

Avraham Soffer, Benjamin Dodson, Thomas Spencer

arxiv:2012.14355 v1 · 2020-12-28 · 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{QMQHTH3CDM6HTHW6VRJSNHNT53}

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	2026-07-05T03:04:19.813097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8320799f621b3c799edeac53269db3eefab3ca6adf2231b7cd6d6e5414466211

Aliases

arxiv: 2012.14355 · arxiv_version: 2012.14355v1 · doi: 10.48550/arxiv.2012.14355 · pith_short_12: QMQHTH3CDM6H · pith_short_16: QMQHTH3CDM6HTHW6 · pith_short_8: QMQHTH3C

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/QMQHTH3CDM6HTHW6VRJSNHNT53 \
  | 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: 8320799f621b3c799edeac53269db3eefab3ca6adf2231b7cd6d6e5414466211

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9aa9965040ee16e23272d34c35c758553d3ec46e2a7a33d5e3592380ab1d003",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-12-28T16:51:42Z",
    "title_canon_sha256": "3612b7e7532b89b47079d86e6300b8fca6d6edd17212a8daad71db47dc1c2131"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.14355",
    "kind": "arxiv",
    "version": 1
  }
}