Pith Number

pith:PYA5BW5B

pith:2019:PYA5BW5BXXYEIDRQ7D5QNHCMAZ

not attested not anchored not stored refs pending

Reply to "Comment on `Winding around non-Hermitian singularities' by Zhong et al., Nat. Commun. 9, 4808 (2018)"

D.N. Christodoulides, M. Khajavikhan, Q. Zhong, R. El-Ganainy

arxiv:1903.07580 v1 · 2019-03-18 · 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{PYA5BW5BXXYEIDRQ7D5QNHCMAZ}

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	2026-05-17T23:51:00.949849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e01d0dba1bdf0440e30f8fb069c4c067b399442d501140ddb576eec4dcaf114

Aliases

arxiv: 1903.07580 · arxiv_version: 1903.07580v1 · doi: 10.48550/arxiv.1903.07580 · pith_short_12: PYA5BW5BXXYE · pith_short_16: PYA5BW5BXXYEIDRQ · pith_short_8: PYA5BW5B

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/PYA5BW5BXXYEIDRQ7D5QNHCMAZ \
  | 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: 7e01d0dba1bdf0440e30f8fb069c4c067b399442d501140ddb576eec4dcaf114

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3722414796176e3cd93d93e181cce6f7f61da1a3e96691a5df33fa3343d313b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-03-18T17:22:47Z",
    "title_canon_sha256": "e7b5f60b258dbdbe1e21146d8a3248cee0dbd34336fc23ba5581e1349fd0b697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07580",
    "kind": "arxiv",
    "version": 1
  }
}