Pith Number

pith:5MU25QWY

pith:2013:5MU25QWYV7YJX2QCVWIJBHASKA

not attested not anchored not stored refs pending

Tight bound on relative entropy by entropy difference

David Reeb, Michael M. Wolf

arxiv:1304.0036 v3 · 2013-03-29 · quant-ph · cond-mat.stat-mech · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5MU25QWYV7YJX2QCVWIJBHASKA}

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	2026-05-18T02:23:58.937565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb29aec2d8aff09bea02ad90909c1250043d175e1052256cae088a7e492c0576

Aliases

arxiv: 1304.0036 · arxiv_version: 1304.0036v3 · doi: 10.48550/arxiv.1304.0036 · pith_short_12: 5MU25QWYV7YJ · pith_short_16: 5MU25QWYV7YJX2QC · pith_short_8: 5MU25QWY

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/5MU25QWYV7YJX2QCVWIJBHASKA \
  | 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: eb29aec2d8aff09bea02ad90909c1250043d175e1052256cae088a7e492c0576

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cd14bcbae2e39974559df4c273035038b8a68393312120c438816b2f5990b41",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-03-29T22:25:29Z",
    "title_canon_sha256": "e17c623be2c888e7f67fda22f668b115aee5dbf8e34c9a9db0f0226e13c93727"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0036",
    "kind": "arxiv",
    "version": 3
  }
}