Pith Number

pith:UE5NDBBE

pith:2026:UE5NDBBE4QPL6MQ7EXSTJCWCRD

not attested not anchored not stored refs pending

Closed-form thermal threshold functions for the proper-time renormalisation group

Daniele Rizzo

arxiv:2608.09803 v1 · 2026-08-10 · 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{UE5NDBBE4QPL6MQ7EXSTJCWCRD}

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	2026-08-11T02:25:08.064872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a13ad18424e41ebf321f25e5348ac288edab7f2675b7ecfec16039f8518f577e

Aliases

arxiv: 2608.09803 · arxiv_version: 2608.09803v1 · doi: 10.48550/arxiv.2608.09803 · pith_short_12: UE5NDBBE4QPL · pith_short_16: UE5NDBBE4QPL6MQ7 · pith_short_8: UE5NDBBE

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/UE5NDBBE4QPL6MQ7EXSTJCWCRD \
  | 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: a13ad18424e41ebf321f25e5348ac288edab7f2675b7ecfec16039f8518f577e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7a0a558b76848c72e1588fc2b50a66490f050102a5c5a324bc1eb5919e422dc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-08-10T16:27:32Z",
    "title_canon_sha256": "6085f5f523ea102ca900890a611aa45ef741428eec046d5f130cd0412ee1a45e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09803",
    "kind": "arxiv",
    "version": 1
  }
}