Pith Number

pith:2IU6DDRP

pith:2009:2IU6DDRPQPZQJ3ZLLPKNG4FFXF

not attested not anchored not stored refs pending

Vacuum Stability of the $\mathcal{PT}$-Symmetric $\left( -\phi^{4}\right) $ Scalar Field Theory

Abouzeid M. Shalaby

arxiv:0902.4565 v2 · 2009-02-26 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2IU6DDRPQPZQJ3ZLLPKNG4FFXF}

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	2026-05-18T02:32:39.415187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d229e18e2f83f304ef2b5bd4d370a5b97f686bfdd004a64760dc3259297756c6

Aliases

arxiv: 0902.4565 · arxiv_version: 0902.4565v2 · doi: 10.48550/arxiv.0902.4565 · pith_short_12: 2IU6DDRPQPZQ · pith_short_16: 2IU6DDRPQPZQJ3ZL · pith_short_8: 2IU6DDRP

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/2IU6DDRPQPZQJ3ZLLPKNG4FFXF \
  | 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: d229e18e2f83f304ef2b5bd4d370a5b97f686bfdd004a64760dc3259297756c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca7bcf54e1f711c797700e6e7cf24258a6c0b4a7eec3d686212b921af4ca0264",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-02-26T12:22:16Z",
    "title_canon_sha256": "5ae07bfc0ac26e4cd5e12abe618745cf59b8dcf5c75abd56c022b454f22dbae6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.4565",
    "kind": "arxiv",
    "version": 2
  }
}