Pith Number

pith:BBOQBYNX

pith:2017:BBOQBYNXXJOIZATIFFMRYCYGGK

not attested not anchored not stored refs pending

Zimmermann's Forest Formula, Infrared Divergences and the QCD Beta Function

Franz Herzog

arxiv:1711.06121 v1 · 2017-11-16 · 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{BBOQBYNXXJOIZATIFFMRYCYGGK}

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	2026-05-18T00:21:09.668204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

085d00e1b7ba5c8c826829591c0b0632900aa47d9ae8af32302764d4a4d6ccfc

Aliases

arxiv: 1711.06121 · arxiv_version: 1711.06121v1 · doi: 10.48550/arxiv.1711.06121 · pith_short_12: BBOQBYNXXJOI · pith_short_16: BBOQBYNXXJOIZATI · pith_short_8: BBOQBYNX

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/BBOQBYNXXJOIZATIFFMRYCYGGK \
  | 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: 085d00e1b7ba5c8c826829591c0b0632900aa47d9ae8af32302764d4a4d6ccfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33b275179212c60eb31277fc8dc2c35e14f5b9cfab2da9fe094f82e756acb7bf",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2017-11-16T14:55:26Z",
    "title_canon_sha256": "946e27ce2107f4c88031c528e4f2109f83bbfe99943ad7494fe2b387f1885d78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06121",
    "kind": "arxiv",
    "version": 1
  }
}