Pith Number

pith:4X4ZE7SJ

pith:2016:4X4ZE7SJSHBWXFHFOHFWBRR7ZN

not attested not anchored not stored refs pending

The effective exponent gamma(Q) and the slope of the beta function

P. M. Stevenson

arxiv:1606.06951 v2 · 2016-06-22 · 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{4X4ZE7SJSHBWXFHFOHFWBRR7ZN}

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	2026-05-18T01:02:38.711879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5f9927e4991c36b94e571cb60c63fcb7f79a7696a94ee5942ed6ddc2c21fc5d

Aliases

arxiv: 1606.06951 · arxiv_version: 1606.06951v2 · doi: 10.48550/arxiv.1606.06951 · pith_short_12: 4X4ZE7SJSHBW · pith_short_16: 4X4ZE7SJSHBWXFHF · pith_short_8: 4X4ZE7SJ

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/4X4ZE7SJSHBWXFHFOHFWBRR7ZN \
  | 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: e5f9927e4991c36b94e571cb60c63fcb7f79a7696a94ee5942ed6ddc2c21fc5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88b64fe93d53899333e955f9f19db3f2a3ce61b65fbe1c8c34f7e6b87683dd17",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-06-22T13:52:38Z",
    "title_canon_sha256": "6f830f7f5fd7e8741a70583bc1aebcf9e6013287bfeafb6b2621dac49726ca18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06951",
    "kind": "arxiv",
    "version": 2
  }
}