Pith Number

pith:KBQ2YC4E

pith:2012:KBQ2YC4EMPTZTW3VYHMOA4S2UT

not attested not anchored not stored refs pending

Scattering theory for energy-supercritical Klein-Gordon equation

Changxing Miao, Jiqiang Zheng

arxiv:1211.4666 v2 · 2012-11-20 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KBQ2YC4EMPTZTW3VYHMOA4S2UT}

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	2026-05-18T00:49:35.427246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5061ac0b8463e799db75c1d8e0725aa4c5a5ee19d4b183e3b4f24c6487dbcc9a

Aliases

arxiv: 1211.4666 · arxiv_version: 1211.4666v2 · doi: 10.48550/arxiv.1211.4666 · pith_short_12: KBQ2YC4EMPTZ · pith_short_16: KBQ2YC4EMPTZTW3V · pith_short_8: KBQ2YC4E

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/KBQ2YC4EMPTZTW3VYHMOA4S2UT \
  | 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: 5061ac0b8463e799db75c1d8e0725aa4c5a5ee19d4b183e3b4f24c6487dbcc9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "641dd3b92d2346bc701af9ab4ffead15960ea545c716d7472bf80929f9981191",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-20T05:26:52Z",
    "title_canon_sha256": "bf9737ef0c70baa0a6425f4ecb8594e7cdafb28e6ee6952b6d4c169d831c480a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4666",
    "kind": "arxiv",
    "version": 2
  }
}