Pith Number

pith:3XA3G5I3

pith:2007:3XA3G5I3QNBRJNRY2GO2KN2LIA

not attested not anchored not stored refs pending

Reply to the comment on "Stochastic local operations and classical communication invariant and the residual entanglement for n qubits"

D. Li, H. Huang, X. Li

arxiv:0712.1681 v2 · 2007-12-11 · 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{3XA3G5I3QNBRJNRY2GO2KN2LIA}

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	2026-05-18T03:56:23.176146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddc1b3751b834314b638d19da5374b40177cac7d94e0b9701603f9d8bdc0b6e8

Aliases

arxiv: 0712.1681 · arxiv_version: 0712.1681v2 · doi: 10.48550/arxiv.0712.1681 · pith_short_12: 3XA3G5I3QNBR · pith_short_16: 3XA3G5I3QNBRJNRY · pith_short_8: 3XA3G5I3

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/3XA3G5I3QNBRJNRY2GO2KN2LIA \
  | 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: ddc1b3751b834314b638d19da5374b40177cac7d94e0b9701603f9d8bdc0b6e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0543a4545d1b718c877c3a20c49d5889ffd5e82ac7539559af772643d71c94c2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-12-11T10:47:53Z",
    "title_canon_sha256": "447a6432cf221b0d3e3d3a33ec75994a6566faab9752ab72068ad95448dcf09b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1681",
    "kind": "arxiv",
    "version": 2
  }
}