Pith Number

pith:WBXX5IPH

pith:2017:WBXX5IPHUFE55QDSWJHSKF7GQP

not attested not anchored not stored refs pending

Comprehensive understanding of parity-time transitions in $\mathcal{PT}$ symmetric photonic crystals with an antiunitary group theory

Adam Mock

arxiv:1701.03245 v1 · 2017-01-12 · 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{WBXX5IPHUFE55QDSWJHSKF7GQP}

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	2026-05-18T00:46:38.002900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b06f7ea1e7a149dec072b24f2517e683d042210e2e9b1895a58d6e9c891b0b8c

Aliases

arxiv: 1701.03245 · arxiv_version: 1701.03245v1 · doi: 10.48550/arxiv.1701.03245 · pith_short_12: WBXX5IPHUFE5 · pith_short_16: WBXX5IPHUFE55QDS · pith_short_8: WBXX5IPH

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/WBXX5IPHUFE55QDSWJHSKF7GQP \
  | 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: b06f7ea1e7a149dec072b24f2517e683d042210e2e9b1895a58d6e9c891b0b8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f12e05e243ffeb3eb61dbad0d7aaf858d928c18794f3238225cb630aaaedc7b8",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-01-12T06:05:48Z",
    "title_canon_sha256": "0e8c8ec11f19f8fc633cca5fb30921c63009f0f221fc215f379a4104115e9228"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03245",
    "kind": "arxiv",
    "version": 1
  }
}