Pith Number

pith:V7NG4MY5

pith:2023:V7NG4MY5U6GGPGJAWK7ULVGIJ7

not attested not anchored not stored refs pending

Sum rule for the pseudo-R\'enyi entropy

Jiaju Zhang, Wu-zhong Guo

arxiv:2308.05261 v2 · 2023-08-09 · hep-th · cond-mat.stat-mech · 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{V7NG4MY5U6GGPGJAWK7ULVGIJ7}

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	2026-07-05T08:18:42.385747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afda6e331da78c679920b2bf45d4c84ff11302cb3f6692a1665e125b03329aa0

Aliases

arxiv: 2308.05261 · arxiv_version: 2308.05261v2 · doi: 10.48550/arxiv.2308.05261 · pith_short_12: V7NG4MY5U6GG · pith_short_16: V7NG4MY5U6GGPGJA · pith_short_8: V7NG4MY5

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/V7NG4MY5U6GGPGJAWK7ULVGIJ7 \
  | 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: afda6e331da78c679920b2bf45d4c84ff11302cb3f6692a1665e125b03329aa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0c51129a84d598ff972105fa25fc86ae6aca0053c605b64937d92265c682d84",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-08-09T23:53:35Z",
    "title_canon_sha256": "eabc8497807a97c1d63e740b74ed0282a1eba73631fe74e16ba5f33f4de2aa7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.05261",
    "kind": "arxiv",
    "version": 2
  }
}