Pith Number

pith:TVRH6GO3

pith:2007:TVRH6GO3KR2KBH6HJCYSCYWPVC

not attested not anchored not stored refs pending

Thompson's renormalization group method applied to QCD at high energy scale

Claudio Nassif, J. A. Helayel-Neto, P. R. Silva

arxiv:0708.2167 v1 · 2007-08-16 · 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{TVRH6GO3KR2KBH6HJCYSCYWPVC}

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	2026-05-18T01:17:38.286724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d627f19db5474a09fc748b12162cfa8ab57ab724b948966457437c154ca7625

Aliases

arxiv: 0708.2167 · arxiv_version: 0708.2167v1 · doi: 10.48550/arxiv.0708.2167 · pith_short_12: TVRH6GO3KR2K · pith_short_16: TVRH6GO3KR2KBH6H · pith_short_8: TVRH6GO3

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/TVRH6GO3KR2KBH6HJCYSCYWPVC \
  | 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: 9d627f19db5474a09fc748b12162cfa8ab57ab724b948966457437c154ca7625

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7520af0d5a37f88536f87673ce9ea777ede7eebc49ad8e569c694cd35575acb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2007-08-16T10:35:16Z",
    "title_canon_sha256": "70b3fd24f2b2948af6f9cc9e58cb3af657a726faba517861c66c4bb9011b34e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.2167",
    "kind": "arxiv",
    "version": 1
  }
}