Pith Number

pith:TYVKFZQC

pith:1999:TYVKFZQCVX3UNZXI4GVIAD67CY

not attested not anchored not stored refs pending

Renormalization Group Flow and Thermodynamics of Conformal Field Theories

Anastasios C. Petkou, George Siopsis

arxiv:hep-th/9906085 v2 · 1999-06-11 · hep-th · hep-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{TYVKFZQCVX3UNZXI4GVIAD67CY}

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	2026-05-18T01:05:54.929214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e2aa2e602adf746e6e8e1aa800fdf1634086d62dd764d0bf8d688c7656fdb44

Aliases

arxiv: hep-th/9906085 · arxiv_version: hep-th/9906085v2 · doi: 10.48550/arxiv.hep-th/9906085 · pith_short_12: TYVKFZQCVX3U · pith_short_16: TYVKFZQCVX3UNZXI · pith_short_8: TYVKFZQC

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/TYVKFZQCVX3UNZXI4GVIAD67CY \
  | 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: 9e2aa2e602adf746e6e8e1aa800fdf1634086d62dd764d0bf8d688c7656fdb44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91c5ec7d44ad55149836c06e69720325bb33bb2b0f3fa7de234f8af5ee2ffe5e",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-06-11T11:30:32Z",
    "title_canon_sha256": "059324ddfcb65f15394201f676057c9c90c4464f4e74aa58e7c5b6f933f2441e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9906085",
    "kind": "arxiv",
    "version": 2
  }
}