Pith Number

pith:QWR7FUII

pith:2012:QWR7FUIINSYPIHLUQL3X2Y57HB

not attested not anchored not stored refs pending

Lifespan of solutions for the nonlinear Schr\"odinger equation without gauge invariance

Masahiro Ikeda

arxiv:1211.6928 v2 · 2012-11-29 · 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{QWR7FUIINSYPIHLUQL3X2Y57HB}

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	2026-05-18T03:39:04.680937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85a3f2d1086cb0f41d7482f77d63bf3855034d7e86fea7391222064c34c2985a

Aliases

arxiv: 1211.6928 · arxiv_version: 1211.6928v2 · doi: 10.48550/arxiv.1211.6928 · pith_short_12: QWR7FUIINSYP · pith_short_16: QWR7FUIINSYPIHLU · pith_short_8: QWR7FUII

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/QWR7FUIINSYPIHLUQL3X2Y57HB \
  | 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: 85a3f2d1086cb0f41d7482f77d63bf3855034d7e86fea7391222064c34c2985a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad1674d8de27c2ee83b0572b884ada1ee34ed4de5a043701dbbe57ea1d6eba23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-29T14:25:36Z",
    "title_canon_sha256": "808cd7641c48a0766e779bc1b82c89baa4f75d52b4b3904ba21eb58cdbec5504"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6928",
    "kind": "arxiv",
    "version": 2
  }
}