Pith Number

pith:NPCSHHGY

pith:1996:NPCSHHGYISA3JVRSZP6CG6LZHX

not attested not anchored not stored refs pending

Gauge Invariance, the Quantum Action Principle, and the Renormalization Group

Marco D'Attanasio, Tim R. Morris

arxiv:hep-th/9602156 v2 · 1996-02-27 · 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{NPCSHHGYISA3JVRSZP6CG6LZHX}

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

Hard cutoff and gauge theories

Receipt and verification

First computed	2026-07-04T16:02:04.724081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bc5239cd84481b4d632cbfc2379793dd3e6e469d22ba3f0e6d3f058b278509c

Aliases

arxiv: hep-th/9602156 · arxiv_version: hep-th/9602156v2 · doi: 10.48550/arxiv.hep-th/9602156 · pith_short_12: NPCSHHGYISA3 · pith_short_16: NPCSHHGYISA3JVRS · pith_short_8: NPCSHHGY

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/NPCSHHGYISA3JVRSZP6CG6LZHX \
  | 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: 6bc5239cd84481b4d632cbfc2379793dd3e6e469d22ba3f0e6d3f058b278509c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83f00e9a2e2a7b0a3f0415fcbe691723351a81169acc4cfeb442da41e6d88d2e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1996-02-27T18:07:18Z",
    "title_canon_sha256": "cbca7a8b09ee9c802f5f8481b6e6d1db7c19060687112a21f71a57c4183daf8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9602156",
    "kind": "arxiv",
    "version": 2
  }
}