Pith Number

pith:IMHYFPR2

pith:2013:IMHYFPR2N3AFY6SIKLSJWDQYNX

not attested not anchored not stored refs pending

Separability from Spectrum for Qubit-Qudit States

Nathaniel Johnston

arxiv:1309.2006 v1 · 2013-09-08 · 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{IMHYFPR2N3AFY6SIKLSJWDQYNX}

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	2026-05-18T03:01:58.154354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

430f82be3a6ec05c7a4852e49b0e186de65eaa5928d30b01fa196228beef5d97

Aliases

arxiv: 1309.2006 · arxiv_version: 1309.2006v1 · doi: 10.48550/arxiv.1309.2006 · pith_short_12: IMHYFPR2N3AF · pith_short_16: IMHYFPR2N3AFY6SI · pith_short_8: IMHYFPR2

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/IMHYFPR2N3AFY6SIKLSJWDQYNX \
  | 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: 430f82be3a6ec05c7a4852e49b0e186de65eaa5928d30b01fa196228beef5d97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72b2b47136ad051c95a2d4a8a0b50f6d46eaebc739df8ebe0f991a5d640e4d80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-09-08T20:30:35Z",
    "title_canon_sha256": "4360bbf392f8007a99313826af93938ad18aa4e99c861198318bd01477f42197"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2006",
    "kind": "arxiv",
    "version": 1
  }
}