Pith Number

pith:WFAMQSKB

pith:2021:WFAMQSKBH2JNUABDESJCFKTJGU

not attested not anchored not stored refs pending

Entropy for spherically symmetric, dynamical black holes from the relative entropy between coherent states of a scalar quantum field

Edoardo D'Angelo

arxiv:2105.04303 v1 · 2021-05-10 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFAMQSKBH2JNUABDESJCFKTJGU}

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	2026-07-05T03:10:08.247960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b140c849413e92da0023249222aa693532b1a809e11d1f59d61824b39e32ddb8

Aliases

arxiv: 2105.04303 · arxiv_version: 2105.04303v1 · doi: 10.48550/arxiv.2105.04303 · pith_short_12: WFAMQSKBH2JN · pith_short_16: WFAMQSKBH2JNUABD · pith_short_8: WFAMQSKB

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/WFAMQSKBH2JNUABDESJCFKTJGU \
  | 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: b140c849413e92da0023249222aa693532b1a809e11d1f59d61824b39e32ddb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6db788503a5d688ae783ca402caf93fefa209482a3d51f5aa1db638f8b9c5eda",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-05-10T12:27:12Z",
    "title_canon_sha256": "c8e2ea7da701ba222d79e9fd6c729f2d55b8945625392610479362d84ccffddd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.04303",
    "kind": "arxiv",
    "version": 1
  }
}