Pith Number

pith:6X2CPMRK

pith:2009:6X2CPMRKPKEZU6OQMPUDC3VVJO

not attested not anchored not stored refs pending

Real spectra for non-Hermitian Dirac equation in 1+1 dimensions with a most general coupling

A. de Souza Dutra, M. B. Hott, V. G. C. S. dos Santos

arxiv:0903.3930 v1 · 2009-03-23 · 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{6X2CPMRKPKEZU6OQMPUDC3VVJO}

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	2026-05-18T02:14:26.459275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5f427b22a7a899a79d063e8316eb54b87bf14c483574c84bd1ecd91df69da2b

Aliases

arxiv: 0903.3930 · arxiv_version: 0903.3930v1 · doi: 10.48550/arxiv.0903.3930 · pith_short_12: 6X2CPMRKPKEZ · pith_short_16: 6X2CPMRKPKEZU6OQ · pith_short_8: 6X2CPMRK

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/6X2CPMRKPKEZU6OQMPUDC3VVJO \
  | 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: f5f427b22a7a899a79d063e8316eb54b87bf14c483574c84bd1ecd91df69da2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddc1a26aa382fc814446f37002df5bd72efa8ff0bd59be7675102e56486cb025",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-03-23T18:52:04Z",
    "title_canon_sha256": "5fdd251d100d41f33e5b39a56dd65dfc0c17eca519f776e2ee440bd12be657cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3930",
    "kind": "arxiv",
    "version": 1
  }
}