Pith Number

pith:3RI6TN4N

pith:2019:3RI6TN4N62E7PDKW2432EQRLV7

not attested not anchored not stored refs pending

Typical entanglement entropy in the presence of a center: Page curve and its variance

Eugenio Bianchi, Pietro Dona

arxiv:1904.08370 v3 · 2019-04-17 · hep-th · cond-mat.stat-mech · 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{3RI6TN4N62E7PDKW2432EQRLV7}

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

3 papers in Pith

A note on Bianchi-Don\`a's proof to the variance formula of von Neumann entropy

Channel-State duality with centers

Typical entanglement entropy with charge conservation

Receipt and verification

First computed	2026-07-05T00:19:59.918038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc51e9b78df689f78d56d737a2422bafe2a01eea63373d9d12677d44ec2e4b88

Aliases

arxiv: 1904.08370 · arxiv_version: 1904.08370v3 · doi: 10.48550/arxiv.1904.08370 · pith_short_12: 3RI6TN4N62E7 · pith_short_16: 3RI6TN4N62E7PDKW · pith_short_8: 3RI6TN4N

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/3RI6TN4N62E7PDKW2432EQRLV7 \
  | 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: dc51e9b78df689f78d56d737a2422bafe2a01eea63373d9d12677d44ec2e4b88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48e3dc7d315e79e4aed60447da8b0ff0a25d49938501e80c941cefa756412860",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-04-17T17:11:43Z",
    "title_canon_sha256": "3f9926d7548b8afb4ae0372d7ed175e9fbe5096e461f0fa4a58dc4b52745851a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.08370",
    "kind": "arxiv",
    "version": 3
  }
}