Pith Number

pith:FHQW3DEQ

pith:2014:FHQW3DEQYNQFLXIMARFMVFJTYF

not attested not anchored not stored refs pending

Precise estimates of bounds on relative operator entropies

Shigeru Furuichi

arxiv:1410.4904 v1 · 2014-10-18 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FHQW3DEQYNQFLXIMARFMVFJTYF}

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	2026-05-18T02:39:47.520729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29e16d8c90c36055dd0c044aca9533c14c4d32fb1f8a6346d734716dbd22383e

Aliases

arxiv: 1410.4904 · arxiv_version: 1410.4904v1 · doi: 10.48550/arxiv.1410.4904 · pith_short_12: FHQW3DEQYNQF · pith_short_16: FHQW3DEQYNQFLXIM · pith_short_8: FHQW3DEQ

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/FHQW3DEQYNQFLXIMARFMVFJTYF \
  | 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: 29e16d8c90c36055dd0c044aca9533c14c4d32fb1f8a6346d734716dbd22383e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29e232447df943ab5b1a6111e606b18a6de4aaaaa2adcae1d55a4541962aaf9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2014-10-18T03:36:44Z",
    "title_canon_sha256": "84445c68a5b29ceffa1b1c4482056f3de5ea8a013790dfcd5f89b39bf312866f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4904",
    "kind": "arxiv",
    "version": 1
  }
}