Pith Number

pith:TRSY7MZX

pith:2000:TRSY7MZXOZIZ5GGRAIQVSZZLNT

not attested not anchored not stored refs pending

Optimisation of the exact renormalisation group

Daniel F. Litim

arxiv:hep-th/0005245 v1 · 2000-05-25 · 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{TRSY7MZXOZIZ5GGRAIQVSZZLNT}

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.

Cited by

1 paper in Pith

Spectral Functions of Lorentzian Quantum Gravity

Receipt and verification

First computed	2026-07-04T15:45:46.249700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c658fb33776519e98d1022159672b6cc118b9c22a0da89882e28e1d6ddd063c

Aliases

arxiv: hep-th/0005245 · arxiv_version: hep-th/0005245v1 · doi: 10.48550/arxiv.hep-th/0005245 · pith_short_12: TRSY7MZXOZIZ · pith_short_16: TRSY7MZXOZIZ5GGR · pith_short_8: TRSY7MZX

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/TRSY7MZXOZIZ5GGRAIQVSZZLNT \
  | 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: 9c658fb33776519e98d1022159672b6cc118b9c22a0da89882e28e1d6ddd063c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55d9a59fe4c71adb988d0aa67cc52d4fa4d0c2f819b53f0569400495b9a96c3b",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-05-25T18:37:42Z",
    "title_canon_sha256": "d54f4afb8b4124c71f74b80794cd237f7483400d8a3796bf0a1e037ee515a209"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0005245",
    "kind": "arxiv",
    "version": 1
  }
}