Pith Number

pith:D6WLOJWG

pith:2006:D6WLOJWG3AOLMDSLHAN3UD5GNF

not attested not anchored not stored refs pending

On a class of periodic quasilinear Schr\"{o}dinger equations involving critical growth in ${\BR}^2$

Abbas Moameni

arxiv:math/0609245 v1 · 2006-09-08 · 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{D6WLOJWG3AOLMDSLHAN3UD5GNF}

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	2026-05-18T01:38:23.798410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1facb726c6d81cb60e4b381bba0fa66943d2bb2bd2110e6233a41efee76ee977

Aliases

arxiv: math/0609245 · arxiv_version: math/0609245v1 · doi: 10.48550/arxiv.math/0609245 · pith_short_12: D6WLOJWG3AOL · pith_short_16: D6WLOJWG3AOLMDSL · pith_short_8: D6WLOJWG

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/D6WLOJWG3AOLMDSLHAN3UD5GNF \
  | 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: 1facb726c6d81cb60e4b381bba0fa66943d2bb2bd2110e6233a41efee76ee977

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75e836199b165d362835c0a77285181c3dbd4e4ea87a4f269f6ae4dd1736737c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-09-08T20:45:31Z",
    "title_canon_sha256": "4520fa9a177d905fad307e5661e683b268169a313427dbf4afcd8c03c2e7942e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609245",
    "kind": "arxiv",
    "version": 1
  }
}