Pith Number

pith:4E52YIRO

pith:2026:4E52YIROPFPAJAQGGKA7U4XFSP

not attested not anchored not stored refs pending

Rank matching in renormalization-group irreversibility: Exact defect and entropic tests

Francesco Scardino

arxiv:2608.02447 v1 · 2026-08-03 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4E52YIROPFPAJAQGGKA7U4XFSP}

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	2026-08-04T02:43:31.645945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e13bac222e795e0482063281fa72e593e8a41fee491bd2a963f74e911b67e366

Aliases

arxiv: 2608.02447 · arxiv_version: 2608.02447v1 · doi: 10.48550/arxiv.2608.02447 · pith_short_12: 4E52YIROPFPA · pith_short_16: 4E52YIROPFPAJAQG · pith_short_8: 4E52YIRO

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/4E52YIROPFPAJAQGGKA7U4XFSP \
  | 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: e13bac222e795e0482063281fa72e593e8a41fee491bd2a963f74e911b67e366

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33db866336b8746a65eeb083217b443cd50476f1fc6bdc2a8f27249d14212e0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-08-03T16:24:05Z",
    "title_canon_sha256": "4e51f4fd68108dfc6b5df5007d753a839cf3eb28497fe2e87a4315844cb0a3d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02447",
    "kind": "arxiv",
    "version": 1
  }
}