pith. sign in
Pith Number

pith:S3F3LSWT

pith:2010:S3F3LSWTN4SJYAIQYW6JZ5MMFK
not attested not anchored not stored refs pending

PT-symmetric models in curved manifolds

David Krejcirik, Petr Siegl

arxiv:1001.2988 v1 · 2010-01-18 · math-ph · math.MP · math.SP · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{S3F3LSWTN4SJYAIQYW6JZ5MMFK}

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 2026-05-18T02:09:43.196283Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

96cbb5cad36f249c0110c5bc9cf58c2ab1aad6bd7a3e0100fdf4ef343976351a

Aliases

arxiv: 1001.2988 · arxiv_version: 1001.2988v1 · doi: 10.48550/arxiv.1001.2988 · pith_short_12: S3F3LSWTN4SJ · pith_short_16: S3F3LSWTN4SJYAIQ · pith_short_8: S3F3LSWT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/S3F3LSWTN4SJYAIQYW6JZ5MMFK \
  | 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: 96cbb5cad36f249c0110c5bc9cf58c2ab1aad6bd7a3e0100fdf4ef343976351a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c22fe3f6b31d9cde39d78436d7d4a5065fbb9fb57a6c1fccd6c1bbb8f7511783",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-01-18T09:56:35Z",
    "title_canon_sha256": "bd63e11efe0b648bd62f0f629f67c9b0eac23f81720767726ac1e1968ad267f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2988",
    "kind": "arxiv",
    "version": 1
  }
}