Pith Number

pith:FPFMUUI5

pith:2012:FPFMUUI5QAMVO43ONM2JOQNMD5

not attested not anchored not stored refs pending

Connecting the von Neumann and Renyi entropies for Fermions

Mark Fannes, Nicholas Van Ryn

arxiv:1205.0945 v1 · 2012-05-04 · 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{FPFMUUI5QAMVO43ONM2JOQNMD5}

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	2026-05-18T03:42:23.783670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bcaca511d801957736e6b349741ac1f6e25b325c64967dea540024bf670e68f

Aliases

arxiv: 1205.0945 · arxiv_version: 1205.0945v1 · doi: 10.48550/arxiv.1205.0945 · pith_short_12: FPFMUUI5QAMV · pith_short_16: FPFMUUI5QAMVO43O · pith_short_8: FPFMUUI5

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/FPFMUUI5QAMVO43ONM2JOQNMD5 \
  | 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: 2bcaca511d801957736e6b349741ac1f6e25b325c64967dea540024bf670e68f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fc0eb140062b4422341432fea8ced77ce03499fcd2de5ed05e2dbcbfc5fa28c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-05-04T12:55:54Z",
    "title_canon_sha256": "c9f3e429e26d00b49219fcaa5115633c704e0f6b83d9ec91ba2dc6a09500ae31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0945",
    "kind": "arxiv",
    "version": 1
  }
}