Pith Number

pith:O7LD6R7P

pith:2023:O7LD6R7PA62ITBSUWN32COAQBU

not attested not anchored not stored refs pending

Evolution of capacity of entanglement and modular entropy in harmonic chains and scalar fields

K. Andrzejewski

arxiv:2309.03013 v2 · 2023-09-06 · 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{O7LD6R7PA62ITBSUWN32COAQBU}

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

1 paper in Pith

Relative entropy for $\lambda \phi^4$ in the Rindler wedge

Receipt and verification

First computed	2026-07-05T07:27:08.126711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77d63f47ef07b4898654b377a138100d1f700652ab8596cf45565820f96addf4

Aliases

arxiv: 2309.03013 · arxiv_version: 2309.03013v2 · doi: 10.48550/arxiv.2309.03013 · pith_short_12: O7LD6R7PA62I · pith_short_16: O7LD6R7PA62ITBSU · pith_short_8: O7LD6R7P

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/O7LD6R7PA62ITBSUWN32COAQBU \
  | 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: 77d63f47ef07b4898654b377a138100d1f700652ab8596cf45565820f96addf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a30d9af215bf3e8909a5c89b63b8d091e15f1972079528c6e5c3c5e7052c565",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-09-06T13:58:45Z",
    "title_canon_sha256": "96381999f9d8e7956b3c9383cc26031f1529fae2b3b6080362616064de1dde6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.03013",
    "kind": "arxiv",
    "version": 2
  }
}