Pith Number
pith:HZL5QVSB
pith:2015:HZL5QVSBBWZ2QA5PTY4EFQZY56
not attested
not anchored
not stored
refs pending
Relative entropy equals bulk relative entropy
arxiv:1512.06431 v1 · 2015-12-20 · hep-th · gr-qc · quant-ph
Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HZL5QVSBBWZ2QA5PTY4EFQZY56}
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
· sign in to
claim
4
Citations
5
Replications
✓
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
Receipt and verification
| First computed | 2026-05-18T01:11:49.981754Z |
|---|---|
| Builder | pith-number-builder-2026-05-17-v1 |
| Signature | Pith Ed25519
(pith-v1-2026-05) · public key |
| Schema | pith-number/v1.0 |
Canonical hash
3e57d856410db3a803af9e3842c338efbd50553ef3db38998676ac96ff9b635a
Aliases
· · · · ·Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HZL5QVSBBWZ2QA5PTY4EFQZY56 \
| 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: 3e57d856410db3a803af9e3842c338efbd50553ef3db38998676ac96ff9b635a
Canonical record JSON
{
"metadata": {
"abstract_canon_sha256": "31f94f8cf5ff241ed43215ef02ec52fb8ddc9f9608277704b568b70df2d61f69",
"cross_cats_sorted": [
"gr-qc",
"quant-ph"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"primary_cat": "hep-th",
"submitted_at": "2015-12-20T20:50:58Z",
"title_canon_sha256": "bae4718a3f57b46bfb131fbd18efbc7bacd41a690755f9632088c7db217f7768"
},
"schema_version": "1.0",
"source": {
"id": "1512.06431",
"kind": "arxiv",
"version": 1
}
}