Pith Number

pith:YXKFAJ7S

pith:2017:YXKFAJ7SIOHAGFYGFXKRT77U4F

not attested not anchored not stored refs pending

Scattering Theory and $\mathcal{P}\mathcal{T}$-Symmetry

Ali Mostafazadeh

arxiv:1711.05450 v2 · 2017-11-15 · quant-ph · math-ph · math.MP · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXKFAJ7SIOHAGFYGFXKRT77U4F}

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	2026-05-17T23:55:38.905915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5d45027f2438e0317062dd519fff4e16d0b767bc97de2482849a1d46713bbab

Aliases

arxiv: 1711.05450 · arxiv_version: 1711.05450v2 · doi: 10.48550/arxiv.1711.05450 · pith_short_12: YXKFAJ7SIOHA · pith_short_16: YXKFAJ7SIOHAGFYG · pith_short_8: YXKFAJ7S

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/YXKFAJ7SIOHAGFYGFXKRT77U4F \
  | 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: c5d45027f2438e0317062dd519fff4e16d0b767bc97de2482849a1d46713bbab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c758ed3f422160b32449a05119db7cb2b3f038358d0a5c99d09b3f8046921db",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-11-15T08:41:33Z",
    "title_canon_sha256": "66e8cc964a77f6efd583dde2e6434033cdcdf29fb3ddc1fb912620a9cad0e798"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05450",
    "kind": "arxiv",
    "version": 2
  }
}