Pith Number

pith:HQSBNILQ

pith:1999:HQSBNILQJUGUP3UMHKPMCS6UWG

not attested not anchored not stored refs pending

Practical Algebraic Renormalization

M. Steinhauser, P.A. Grassi, T. Hurth

arxiv:hep-ph/9907426 v2 · 1999-07-20 · hep-ph · 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{HQSBNILQJUGUP3UMHKPMCS6UWG}

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	2026-05-18T02:36:27.709462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c2416a1704d0d47ee8c3a9ec14bd4b19d223c8a30ba6c29cbd6f0648c461ad1

Aliases

arxiv: hep-ph/9907426 · arxiv_version: hep-ph/9907426v2 · doi: 10.48550/arxiv.hep-ph/9907426 · pith_short_12: HQSBNILQJUGU · pith_short_16: HQSBNILQJUGUP3UM · pith_short_8: HQSBNILQ

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/HQSBNILQJUGUP3UMHKPMCS6UWG \
  | 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: 3c2416a1704d0d47ee8c3a9ec14bd4b19d223c8a30ba6c29cbd6f0648c461ad1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee81c98b935111b289524031414629140c5a4c3f5c6f9e4fa4ef5ec3212d2f86",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-07-20T08:26:35Z",
    "title_canon_sha256": "cf4f887333b1dd2aed1c174c515ff39b3a45d19928536066509630ee2c53e3f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9907426",
    "kind": "arxiv",
    "version": 2
  }
}