Pith Number

pith:HIQDZX7F

pith:2016:HIQDZX7FNIAEOSHLSRGNKLKOGZ

not attested not anchored not stored refs pending

PT-symmetric transport in non-PT-symmetric bi-layer optical arrays

D.N.Christodoulides, F.M.Izrailev, J.Ramirez-Hernandez, N.M.Makarov

arxiv:1601.02259 v1 · 2016-01-10 · physics.optics · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HIQDZX7FNIAEOSHLSRGNKLKOGZ}

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	2026-05-18T01:08:12.255487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a203cdfe56a004748eb944cd52d4e364ec97ebf960003863d7fe40ea3d8ecc6

Aliases

arxiv: 1601.02259 · arxiv_version: 1601.02259v1 · doi: 10.48550/arxiv.1601.02259 · pith_short_12: HIQDZX7FNIAE · pith_short_16: HIQDZX7FNIAEOSHL · pith_short_8: HIQDZX7F

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/HIQDZX7FNIAEOSHLSRGNKLKOGZ \
  | 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: 3a203cdfe56a004748eb944cd52d4e364ec97ebf960003863d7fe40ea3d8ecc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "000826fc0f731e0a69dfa80fc2c18baa3896316b5924b8ba14be4427a6187672",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-01-10T19:38:31Z",
    "title_canon_sha256": "35fca1be12862f7220bcb5433667ae25319fd8784416639a962a8d1569d81afd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02259",
    "kind": "arxiv",
    "version": 1
  }
}