Pith Number

pith:75ZABC5F

pith:1993:75ZABC5FVQWVYMMJBV6IFMFPAE

not attested not anchored not stored refs pending

The Renormalisation Group Equation As An Equation For Lie Transport Of Amplitudes

Brian P. Dolan

arxiv:hep-th/9307024 v1 · 1993-07-03 · 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{75ZABC5FVQWVYMMJBV6IFMFPAE}

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	2026-05-18T01:06:04.847874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff72008ba5ac2d5c31890d7c82b0af011d026a2b0d90ec54971776ba9842a1e1

Aliases

arxiv: hep-th/9307024 · arxiv_version: hep-th/9307024v1 · doi: 10.48550/arxiv.hep-th/9307024 · pith_short_12: 75ZABC5FVQWV · pith_short_16: 75ZABC5FVQWVYMMJ · pith_short_8: 75ZABC5F

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/75ZABC5FVQWVYMMJBV6IFMFPAE \
  | 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: ff72008ba5ac2d5c31890d7c82b0af011d026a2b0d90ec54971776ba9842a1e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d0defe4a35ff0cd095e4afc45e504f0875b21f4ea4abff858f13031d2929db6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-07-03T14:49:27Z",
    "title_canon_sha256": "ddcef97b99d5642e9350cf35741eb4a8ce8df7ed171a46584c30c1f576497b5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9307024",
    "kind": "arxiv",
    "version": 1
  }
}