Pith Number

pith:KDXCFXBU

pith:2014:KDXCFXBUY6EIEIJSWLIHLFGPPQ

not attested not anchored not stored refs pending

Local unitary symmetries and entanglement invariants

Markus Johansson

arxiv:1401.2110 v5 · 2014-01-09 · 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{KDXCFXBUY6EIEIJSWLIHLFGPPQ}

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	2026-05-18T02:38:53.064445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50ee22dc34c788822132b2d07594cf7c20befc0160d80b4d4ee514df4d61b8bc

Aliases

arxiv: 1401.2110 · arxiv_version: 1401.2110v5 · doi: 10.48550/arxiv.1401.2110 · pith_short_12: KDXCFXBUY6EI · pith_short_16: KDXCFXBUY6EIEIJS · pith_short_8: KDXCFXBU

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/KDXCFXBUY6EIEIJSWLIHLFGPPQ \
  | 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: 50ee22dc34c788822132b2d07594cf7c20befc0160d80b4d4ee514df4d61b8bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a88bce321e714f69b2e62faa841b774158ff243dd8dfa51da763dfa583a84e63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-01-09T18:29:51Z",
    "title_canon_sha256": "06af0de6d3a7dfa7cd4615d952912ec9623ccb9380ada8d5db44b92c63256e58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2110",
    "kind": "arxiv",
    "version": 5
  }
}