Pith Number

pith:WFGGXH4H

pith:2018:WFGGXH4HR5GIGIPVAYGVNZCNPK

not attested not anchored not stored refs pending

Notes on Some Entanglement Properties of Quantum Field Theory

Edward Witten

arxiv:1803.04993 v6 · 2018-03-13 · hep-th · math-ph · math.MP · 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{WFGGXH4HR5GIGIPVAYGVNZCNPK}

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.

Cited by

23 papers in Pith

Lectures on entanglement entropy in field theory and holography

Entanglement Harvesting and Quantum Discord of Alpha Vacua in de Sitter Space

Lectures on the Bondi--Metzner--Sachs group and related topics in infrared physics

Entanglement Entropy and Thermodynamics of Dynamical Black Holes

Quantum entanglement between partons in a strongly coupled quantum field theory

Receipt and verification

First computed	2026-05-18T00:02:01.468054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b14c6b9f878f4c8321f5060d56e44d7a86942dba326337a7b12ff75e33f65387

Aliases

arxiv: 1803.04993 · arxiv_version: 1803.04993v6 · doi: 10.48550/arxiv.1803.04993 · pith_short_12: WFGGXH4HR5GI · pith_short_16: WFGGXH4HR5GIGIPV · pith_short_8: WFGGXH4H

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/WFGGXH4HR5GIGIPVAYGVNZCNPK \
  | 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: b14c6b9f878f4c8321f5060d56e44d7a86942dba326337a7b12ff75e33f65387

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "666df177bca6cb6ccc7185d3a6aec378e001b28bdbd6d15939524b8d21bcc231",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-03-13T18:11:48Z",
    "title_canon_sha256": "70853dab37f11c2eb8f1771ab46dc5bc3f0b237eb98d153bb7f53c273860afaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04993",
    "kind": "arxiv",
    "version": 6
  }
}