Pith Number

pith:PP7HT2DG

pith:2015:PP7HT2DGNARCW46KDPXQ7SSVKX

not attested not anchored not stored refs pending

Four-loop strong coupling beta-function in the Standard Model

A.F. Pikelner, A.V. Bednyakov

arxiv:1508.02680 v2 · 2015-08-11 · 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{PP7HT2DGNARCW46KDPXQ7SSVKX}

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	2026-05-18T01:04:45.798801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bfe79e86668222b73ca1bef0fca5555c627c64c159a428a67835ef2853b451e

Aliases

arxiv: 1508.02680 · arxiv_version: 1508.02680v2 · doi: 10.48550/arxiv.1508.02680 · pith_short_12: PP7HT2DGNARC · pith_short_16: PP7HT2DGNARCW46K · pith_short_8: PP7HT2DG

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/PP7HT2DGNARCW46KDPXQ7SSVKX \
  | 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: 7bfe79e86668222b73ca1bef0fca5555c627c64c159a428a67835ef2853b451e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e465c657f42b97c3c317ed73dba12c55147ae2f6eb7e12ad86aa7843fa8dead",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-08-11T18:36:19Z",
    "title_canon_sha256": "94302b07b466636ea7c39371ad066e8010d102f1487bf1efb560592a3af91eb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02680",
    "kind": "arxiv",
    "version": 2
  }
}