Pith Number

pith:CRGV36R3

pith:2013:CRGV36R3XZYYOX2FDDJV4SME5G

not attested not anchored not stored refs pending

On the real matrix representation of PT-symmetric operators

Francisco M. Fern\'andez

arxiv:1301.7639 v4 · 2013-01-29 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CRGV36R3XZYYOX2FDDJV4SME5G}

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	2026-05-18T02:54:14.339340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

144d5dfa3bbe71875f4518d35e4984e9bb705f8e82f2a308ce975f82c51a87f6

Aliases

arxiv: 1301.7639 · arxiv_version: 1301.7639v4 · doi: 10.48550/arxiv.1301.7639 · pith_short_12: CRGV36R3XZYY · pith_short_16: CRGV36R3XZYYOX2F · pith_short_8: CRGV36R3

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/CRGV36R3XZYYOX2FDDJV4SME5G \
  | 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: 144d5dfa3bbe71875f4518d35e4984e9bb705f8e82f2a308ce975f82c51a87f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bea7c3fc524ebe1ca5d41a4c4958562f65342ced03244b255a7e4e447223db7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-01-29T22:54:20Z",
    "title_canon_sha256": "98d7e481fd4f65644b6c64f69fb566899074adee43f47d1524b562dacc730921"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7639",
    "kind": "arxiv",
    "version": 4
  }
}