Pith Number

pith:H63CAGYI

pith:2014:H63CAGYIKNFARLZKRY3D2F4FC5

not attested not anchored not stored refs pending

A unidirectional invisible PT-symmetric complex crystal with arbitrary thickness

Stefano Longhi

arxiv:1410.5278 v1 · 2014-10-20 · quant-ph · 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{H63CAGYIKNFARLZKRY3D2F4FC5}

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	2026-05-18T01:19:38.941293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fb6201b08534a08af2a8e363d17851770df97aafbd0131e6b02385641cdffcf

Aliases

arxiv: 1410.5278 · arxiv_version: 1410.5278v1 · doi: 10.48550/arxiv.1410.5278 · pith_short_12: H63CAGYIKNFA · pith_short_16: H63CAGYIKNFARLZK · pith_short_8: H63CAGYI

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/H63CAGYIKNFARLZKRY3D2F4FC5 \
  | 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: 3fb6201b08534a08af2a8e363d17851770df97aafbd0131e6b02385641cdffcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b0a0a5b1292e390b5d8caba74e402aea98f1f111faa9c68f0dba8762211a671",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-10-20T13:57:19Z",
    "title_canon_sha256": "812266d3dd97d7ff5aaf8034abe65332753be8430c57bb47f86a693b5f92fb33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5278",
    "kind": "arxiv",
    "version": 1
  }
}