Pith Number

pith:5GRR3ZDW

pith:2009:5GRR3ZDW5ETC3GXKWED7KHPFNQ

not attested not anchored not stored refs pending

Spectral and scattering theory of charged $P(\varphi)_2$ models

Christian G\'erard (LM-Orsay)

arxiv:0906.5478 v1 · 2009-06-30 · 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{5GRR3ZDW5ETC3GXKWED7KHPFNQ}

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	2026-05-18T02:13:11.791739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9a31de476e9262d9aeab107f51de56c28bb99eaa2b5157990169a19c6fbcac8

Aliases

arxiv: 0906.5478 · arxiv_version: 0906.5478v1 · doi: 10.48550/arxiv.0906.5478 · pith_short_12: 5GRR3ZDW5ETC · pith_short_16: 5GRR3ZDW5ETC3GXK · pith_short_8: 5GRR3ZDW

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/5GRR3ZDW5ETC3GXKWED7KHPFNQ \
  | 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: e9a31de476e9262d9aeab107f51de56c28bb99eaa2b5157990169a19c6fbcac8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24b6303539a9622697e9655fc840c3dd405f8ace6518df0d53c9f0bc516cddc4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-06-30T11:11:47Z",
    "title_canon_sha256": "95c8a1b0900071c7db78d4dc69833d0971a78dffd3c4fc897f66506f901cc2a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.5478",
    "kind": "arxiv",
    "version": 1
  }
}