Pith Number

pith:UPNEYEW7

pith:2000:UPNEYEW7UJSOY3PX4DZZF5HECZ

not attested not anchored not stored refs pending

On the Running Gauge Coupling Constant in the Exact Renormalization Group

Jun-Ichi Sumi

arxiv:hep-th/0006016 v3 · 2000-06-02 · 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{UPNEYEW7UJSOY3PX4DZZF5HECZ}

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	2026-05-18T01:06:00.275427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3da4c12dfa264ec6df7e0f392f4e416677fe221c42eabffe3c9732552302af7

Aliases

arxiv: hep-th/0006016 · arxiv_version: hep-th/0006016v3 · doi: 10.48550/arxiv.hep-th/0006016 · pith_short_12: UPNEYEW7UJSO · pith_short_16: UPNEYEW7UJSOY3PX · pith_short_8: UPNEYEW7

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/UPNEYEW7UJSOY3PX4DZZF5HECZ \
  | 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: a3da4c12dfa264ec6df7e0f392f4e416677fe221c42eabffe3c9732552302af7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b69a036803d1ccf3856752b8d7c806989bd3b70134b9f94178300be3eda86cd6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-06-02T09:46:20Z",
    "title_canon_sha256": "888a10a47c4e5af09112884ad537f3741f3cc7348a69f2596bbcb6c9a116bb03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0006016",
    "kind": "arxiv",
    "version": 3
  }
}