Pith Number

pith:P7BXICIP

pith:2016:P7BXICIP2K73YAXEL2POQPS6UL

not attested not anchored not stored refs pending

The Banks-Zaks expansion in perturbative QCD: an update

P. M. Stevenson

arxiv:1607.01670 v1 · 2016-07-06 · 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{P7BXICIP2K73YAXEL2POQPS6UL}

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	2026-05-18T00:54:35.727758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fc374090fd2bfbc02e45e9ee83e5ea2ebab14d658b84f13061c819fa5c0e3b0

Aliases

arxiv: 1607.01670 · arxiv_version: 1607.01670v1 · doi: 10.48550/arxiv.1607.01670 · pith_short_12: P7BXICIP2K73 · pith_short_16: P7BXICIP2K73YAXE · pith_short_8: P7BXICIP

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/P7BXICIP2K73YAXEL2POQPS6UL \
  | 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: 7fc374090fd2bfbc02e45e9ee83e5ea2ebab14d658b84f13061c819fa5c0e3b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76692fcb10d8aa673633dabd917176bd8534de411334dfbc1792d06a8e6e8541",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-07-06T15:28:07Z",
    "title_canon_sha256": "fef62aabb1b6483b6b7a7368cf9cd61be966fc156d91313d7727946add78b400"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01670",
    "kind": "arxiv",
    "version": 1
  }
}