Pith Number

pith:CMK4G4HI

pith:2018:CMK4G4HIG3HYVBY64HHHBZQLJM

not attested not anchored not stored refs pending

Scattering for 3d cubic focusing NLS on the domain outside a convex obstacle revisited

Chengbin Xu, Jiqiang Zheng, Tengfei Zhao

arxiv:1812.09445 v1 · 2018-12-22 · 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{CMK4G4HIG3HYVBY64HHHBZQLJM}

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	2026-05-17T23:57:27.921654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1315c370e836cf8a871ee1ce70e60b4b0fe2440d1ef6ee429b59a8df63bf096a

Aliases

arxiv: 1812.09445 · arxiv_version: 1812.09445v1 · doi: 10.48550/arxiv.1812.09445 · pith_short_12: CMK4G4HIG3HY · pith_short_16: CMK4G4HIG3HYVBY6 · pith_short_8: CMK4G4HI

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/CMK4G4HIG3HYVBY64HHHBZQLJM \
  | 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: 1315c370e836cf8a871ee1ce70e60b4b0fe2440d1ef6ee429b59a8df63bf096a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c639c74aadd8d21f3f300eee056d791fbb192e7a28be19e1bcaad5571fe15664",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-22T03:51:10Z",
    "title_canon_sha256": "2fdcb132c24cfe9cc780eef6713f33239e7f4e86f3637607ac219a4c219e8a93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09445",
    "kind": "arxiv",
    "version": 1
  }
}