Pith Number

pith:2IQZRFRY

pith:1998:2IQZRFRY6QGGMU5PDZUTHNTGAJ

not attested not anchored not stored refs pending

Effective average action and nonperturbative renormalization group equation in higher derivative quantum gravity

L.N. Granda, S.D. Odintsov

arxiv:gr-qc/9801026 v2 · 1998-01-09 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2IQZRFRY6QGGMU5PDZUTHNTGAJ}

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	2026-05-18T01:06:44.329002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d221989638f40c6653af1e6933b6660244b129638db8d1dbcaddc89e3a287e6b

Aliases

arxiv: gr-qc/9801026 · arxiv_version: gr-qc/9801026v2 · doi: 10.48550/arxiv.gr-qc/9801026 · pith_short_12: 2IQZRFRY6QGG · pith_short_16: 2IQZRFRY6QGGMU5P · pith_short_8: 2IQZRFRY

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/2IQZRFRY6QGGMU5PDZUTHNTGAJ \
  | 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: d221989638f40c6653af1e6933b6660244b129638db8d1dbcaddc89e3a287e6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "529e7a7cb2ac233149aaffe7d3c48dd6df24e1fb8c1314b3932df5cd04b0fdb2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-01-09T15:25:05Z",
    "title_canon_sha256": "6b9af3439892b232850516c81265a1d4daa5337c8428e19c09a54d324cb7b45f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9801026",
    "kind": "arxiv",
    "version": 2
  }
}