Pith Number

pith:VZDUVIPJ

pith:2011:VZDUVIPJBNJJTZPO7ZJ24PLJFA

not attested not anchored not stored refs pending

Scattering theory for Klein-Gordon equations with non-positive energy

Christian G\'erard (LM-Orsay)

arxiv:1101.2145 v2 · 2011-01-11 · math-ph · math.AP · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZDUVIPJBNJJTZPO7ZJ24PLJFA}

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	2026-05-18T02:03:42.976775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae474aa1e90b5299e5eefe53ae3d6928358ff1b9309b7fb47ed834b17fd5b905

Aliases

arxiv: 1101.2145 · arxiv_version: 1101.2145v2 · doi: 10.48550/arxiv.1101.2145 · pith_short_12: VZDUVIPJBNJJ · pith_short_16: VZDUVIPJBNJJTZPO · pith_short_8: VZDUVIPJ

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/VZDUVIPJBNJJTZPO7ZJ24PLJFA \
  | 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: ae474aa1e90b5299e5eefe53ae3d6928358ff1b9309b7fb47ed834b17fd5b905

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b37ce8014844618a7f8fb0b15addf60c429cc9fe308828efc859809dc3422a01",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-11T15:45:57Z",
    "title_canon_sha256": "81f485b7fb9bf372f529611355581b22c82f2ed68a569d79b0d0c72b0c60dd31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2145",
    "kind": "arxiv",
    "version": 2
  }
}