Pith Number

pith:7X2II6Z2

pith:2010:7X2II6Z263QXK77K544H5A27JJ

not attested not anchored not stored refs pending

PT-symmetric operators and metastable states of the 1D relativistic oscillators

Riccardo Giachetti, Vincenzo Grecchi

arxiv:1005.3633 v4 · 2010-05-20 · math-ph · hep-th · 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{7X2II6Z263QXK77K544H5A27JJ}

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	2026-05-18T02:23:56.449379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdf4847b3af6e1757feaef387e835f4a7fd4ed7c1eec059c2920a6aad7c24ba9

Aliases

arxiv: 1005.3633 · arxiv_version: 1005.3633v4 · doi: 10.48550/arxiv.1005.3633 · pith_short_12: 7X2II6Z263QX · pith_short_16: 7X2II6Z263QXK77K · pith_short_8: 7X2II6Z2

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/7X2II6Z263QXK77K544H5A27JJ \
  | 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: fdf4847b3af6e1757feaef387e835f4a7fd4ed7c1eec059c2920a6aad7c24ba9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7131996aff1b921abb67e18baf2a6f25e96bc26d2edcd39b4e334058cae9295",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-05-20T08:47:11Z",
    "title_canon_sha256": "2691ac36421ea90f580465c97a850be4dd404ec82af84f07bf1c78763035367b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3633",
    "kind": "arxiv",
    "version": 4
  }
}