Pith Number

pith:BPHDH5PJ

pith:2010:BPHDH5PJZMSIC3KMUBEQ7N7Z5K

not attested not anchored not stored refs pending

Mutual information and the structure of entanglement in quantum field theory

Brian Swingle

arxiv:1010.4038 v1 · 2010-10-19 · quant-ph · cond-mat.str-el · 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{BPHDH5PJZMSIC3KMUBEQ7N7Z5K}

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	2026-05-18T04:38:59.922819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bce33f5e9cb24816d4ca0490fb7f9eaa8331ceb581f4f6a6890e28ee405dc90

Aliases

arxiv: 1010.4038 · arxiv_version: 1010.4038v1 · doi: 10.48550/arxiv.1010.4038 · pith_short_12: BPHDH5PJZMSI · pith_short_16: BPHDH5PJZMSIC3KM · pith_short_8: BPHDH5PJ

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/BPHDH5PJZMSIC3KMUBEQ7N7Z5K \
  | 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: 0bce33f5e9cb24816d4ca0490fb7f9eaa8331ceb581f4f6a6890e28ee405dc90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c19f0d577abfb06160486e0cef1555c4f4d9d8262a33f5417e3c7e33ff694024",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-10-19T20:06:52Z",
    "title_canon_sha256": "1b1904333d9853679ac30f28380e4d9c29e1e91ed022d2228cf24ed3dd26d710"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4038",
    "kind": "arxiv",
    "version": 1
  }
}