Pith Number

pith:ATHSO7XP

pith:2013:ATHSO7XPMUPVPVTI25MODCONB3

not attested not anchored not stored refs pending

Polynomial invariants of degree 4 for even-$n$ qubits and their applications in entanglement classification

Dafa Li, Xiangrong Li

arxiv:1308.2436 v1 · 2013-08-11 · 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{ATHSO7XPMUPVPVTI25MODCONB3}

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	2026-05-18T03:16:07.426774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04cf277eef651f57d668d758e189cd0edb4f55fd6e0d87805f2218d0f38e9e10

Aliases

arxiv: 1308.2436 · arxiv_version: 1308.2436v1 · doi: 10.48550/arxiv.1308.2436 · pith_short_12: ATHSO7XPMUPV · pith_short_16: ATHSO7XPMUPVPVTI · pith_short_8: ATHSO7XP

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/ATHSO7XPMUPVPVTI25MODCONB3 \
  | 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: 04cf277eef651f57d668d758e189cd0edb4f55fd6e0d87805f2218d0f38e9e10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fe5135d2298caf04aeb793a8bcaf44476b281ad1721dd2a9f74549ab8a078db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-08-11T23:26:00Z",
    "title_canon_sha256": "b4d9a5ea6ae45c3609dc0febbac4011e949a164723b26babcaefc98748094861"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2436",
    "kind": "arxiv",
    "version": 1
  }
}