Pith Number

pith:5JHI6Q5H

pith:2012:5JHI6Q5HL6TMD7EKJV6M5DT2NF

not attested not anchored not stored refs pending

Unitary Invariants and Classification of Four-Qubit States via Negativity Fonts

N. K. Sharma, S. Shelly Sharma

arxiv:1211.2328 v3 · 2012-11-10 · 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{5JHI6Q5HL6TMD7EKJV6M5DT2NF}

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	2026-05-18T03:32:47.253085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea4e8f43a75fa6c1fc8a4d7cce8e7a6968728e5f85d35f8042f179b56335604a

Aliases

arxiv: 1211.2328 · arxiv_version: 1211.2328v3 · doi: 10.48550/arxiv.1211.2328 · pith_short_12: 5JHI6Q5HL6TM · pith_short_16: 5JHI6Q5HL6TMD7EK · pith_short_8: 5JHI6Q5H

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/5JHI6Q5HL6TMD7EKJV6M5DT2NF \
  | 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: ea4e8f43a75fa6c1fc8a4d7cce8e7a6968728e5f85d35f8042f179b56335604a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab57acf10c572c6fe411df4c682b3f72f62b7129448847045656b1fb479600bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-11-10T14:37:00Z",
    "title_canon_sha256": "5f01f831499cc65486ed8c8ae0267017c0b1c9ee7b373767ac0887320426b59e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2328",
    "kind": "arxiv",
    "version": 3
  }
}