Pith Number

pith:5XRAHWJH

pith:2016:5XRAHWJH2HROOS6T6QXYGHNHT2

not attested not anchored not stored refs pending

Entanglement monotones and transformations of symmetric bipartite states

Gilad Gour, Mark W. Girard

arxiv:1609.08016 v3 · 2016-09-26 · 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{5XRAHWJH2HROOS6T6QXYGHNHT2}

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	2026-05-18T00:52:33.985724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ede203d927d1e2e74bd3f42f831da79e92c983cd18ab4c3b78a43f7215c3f843

Aliases

arxiv: 1609.08016 · arxiv_version: 1609.08016v3 · doi: 10.48550/arxiv.1609.08016 · pith_short_12: 5XRAHWJH2HRO · pith_short_16: 5XRAHWJH2HROOS6T · pith_short_8: 5XRAHWJH

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/5XRAHWJH2HROOS6T6QXYGHNHT2 \
  | 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: ede203d927d1e2e74bd3f42f831da79e92c983cd18ab4c3b78a43f7215c3f843

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e5db8ca16f39a38638ad6ac101189550af1ac907a3c0a8d67f142c08a340952",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-09-26T15:13:52Z",
    "title_canon_sha256": "3f2e926eb00c58758c598142568b8b45b9262500b35f9d9994490d28972e4b82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08016",
    "kind": "arxiv",
    "version": 3
  }
}