Pith Number

pith:J5MUZDQP

pith:2021:J5MUZDQPE4ENT2J5OCFGFNAXOD

not attested not anchored not stored refs pending

One-loop structure of parton distribution for the gluon condensate and "zero modes"

Anatoly Radyushkin, Shuai Zhao

arxiv:2111.00887 v2 · 2021-11-01 · hep-ph · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J5MUZDQPE4ENT2J5OCFGFNAXOD}

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	2026-07-05T03:42:53.038138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f594c8e0f2708d9e93d708a62b41770e37844dff184ee69aff107d89f3f89d5

Aliases

arxiv: 2111.00887 · arxiv_version: 2111.00887v2 · doi: 10.48550/arxiv.2111.00887 · pith_short_12: J5MUZDQPE4EN · pith_short_16: J5MUZDQPE4ENT2J5 · pith_short_8: J5MUZDQP

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/J5MUZDQPE4ENT2J5OCFGFNAXOD \
  | 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: 4f594c8e0f2708d9e93d708a62b41770e37844dff184ee69aff107d89f3f89d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b021a60fd25ac757bc91c4fcca6c42a5396f867f9ab16c052c9996e9b99d054",
    "cross_cats_sorted": [
      "hep-lat"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-11-01T12:25:37Z",
    "title_canon_sha256": "d6e1b80e7bd9ff60ba79d778c3ad9a103efbd695d530ee14347fc8a00124cb19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.00887",
    "kind": "arxiv",
    "version": 2
  }
}