Pith Number

pith:CKHUMQHU

pith:2016:CKHUMQHUAVXIOCMCF7EM4LTQ6W

not attested not anchored not stored refs pending

On a realization of $\{\beta\}$-expansion in QCD

S. V. Mikhailov

arxiv:1610.01305 v5 · 2016-10-05 · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKHUMQHUAVXIOCMCF7EM4LTQ6W}

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	2026-05-18T00:43:59.884831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

128f4640f4056e8709822fc8ce2e70f5bf858220485dfbeb5e9f52f73ca49c4d

Aliases

arxiv: 1610.01305 · arxiv_version: 1610.01305v5 · doi: 10.48550/arxiv.1610.01305 · pith_short_12: CKHUMQHUAVXI · pith_short_16: CKHUMQHUAVXIOCMC · pith_short_8: CKHUMQHU

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/CKHUMQHUAVXIOCMCF7EM4LTQ6W \
  | 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: 128f4640f4056e8709822fc8ce2e70f5bf858220485dfbeb5e9f52f73ca49c4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f737126952a9573f2da091fb7ed4afaa93fc29b67b726c8bdfcbc46527e8b23b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-10-05T08:19:44Z",
    "title_canon_sha256": "4e963389e21bcd96149af3900984cea67d0cc2a249667e50b1a2167f32ee8275"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01305",
    "kind": "arxiv",
    "version": 5
  }
}