Pith Number

pith:RD7MBKE2

pith:2021:RD7MBKE2UU5QPQYCIZZ2ZRJPYD

not attested not anchored not stored refs pending

Candidate entanglement invariants for two Dirac spinors

Markus Johansson

arxiv:2103.07784 v2 · 2021-03-13 · 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{RD7MBKE2UU5QPQYCIZZ2ZRJPYD}

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	2026-07-05T04:03:45.213373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88fec0a89aa53b07c3024673acc52fc0f8fb445175139c33cee462d5786c1413

Aliases

arxiv: 2103.07784 · arxiv_version: 2103.07784v2 · doi: 10.48550/arxiv.2103.07784 · pith_short_12: RD7MBKE2UU5Q · pith_short_16: RD7MBKE2UU5QPQYC · pith_short_8: RD7MBKE2

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/RD7MBKE2UU5QPQYCIZZ2ZRJPYD \
  | 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: 88fec0a89aa53b07c3024673acc52fc0f8fb445175139c33cee462d5786c1413

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5cdf884fea79d88ded82be7148de2f419cba9ab1ef82e862dc30b143e99ffb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-03-13T20:32:45Z",
    "title_canon_sha256": "20283cbde1dea7fc88f1bea35ea251eeb731d286ff064bb8c7b7c3904d719cfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.07784",
    "kind": "arxiv",
    "version": 2
  }
}