Pith Number

pith:IO44FLZC

pith:2013:IO44FLZCXC2NT4XYOB3SNJDNDI

not attested not anchored not stored refs pending

Spin Operator and Entanglement in Quantum Field Theory

Chengjie Zhang, C.H. Oh, Kazuo Fujikawa

arxiv:1312.0326 v2 · 2013-12-02 · quant-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IO44FLZCXC2NT4XYOB3SNJDNDI}

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	2026-05-18T01:46:04.395409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43b9c2af22b8b4d9f2f8707726a46d1a2c1bd2a871917061abaf6126eab8b7c7

Aliases

arxiv: 1312.0326 · arxiv_version: 1312.0326v2 · doi: 10.48550/arxiv.1312.0326 · pith_short_12: IO44FLZCXC2N · pith_short_16: IO44FLZCXC2NT4XY · pith_short_8: IO44FLZC

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/IO44FLZCXC2NT4XYOB3SNJDNDI \
  | 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: 43b9c2af22b8b4d9f2f8707726a46d1a2c1bd2a871917061abaf6126eab8b7c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c8c5a9f6d0081ed68587b548b747ad321d715df09ae1fc7b12b1289ccd2dd50",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-12-02T04:21:19Z",
    "title_canon_sha256": "eefff2dc35f469aecc42412f3272cdedd53b20fa806e8a8563f40901fa37158a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0326",
    "kind": "arxiv",
    "version": 2
  }
}