Pith Number

pith:KXPJC5YL

pith:2026:KXPJC5YLXB5MRGFRUROWNAVMR5

not attested not anchored not stored refs pending

Soft Gluon Wave Function and Evolution Operator in the CGC at Next-to-Leading Order

Ramkumar Radhakrishnan

arxiv:2607.18373 v1 · 2026-07-20 · hep-ph · hep-th · nucl-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{KXPJC5YLXB5MRGFRUROWNAVMR5}

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	2026-07-22T00:22:44.122084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55de91770bb87ac898b1a45d6682ac8f7afb1c31ab0a1c89f28aec7edb9b6e2f

Aliases

arxiv: 2607.18373 · arxiv_version: 2607.18373v1 · doi: 10.48550/arxiv.2607.18373 · pith_short_12: KXPJC5YLXB5M · pith_short_16: KXPJC5YLXB5MRGFR · pith_short_8: KXPJC5YL

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/KXPJC5YLXB5MRGFRUROWNAVMR5 \
  | 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: 55de91770bb87ac898b1a45d6682ac8f7afb1c31ab0a1c89f28aec7edb9b6e2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9f228aae668acd39f6ebb2f0534a19afd26dedc5471b9c57686bc089c4f387f",
    "cross_cats_sorted": [
      "hep-th",
      "nucl-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-07-20T18:00:00Z",
    "title_canon_sha256": "aabaea716e2e450432f50e735a1ac0f97397e419b1255d6f2df884ba3719b19c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18373",
    "kind": "arxiv",
    "version": 1
  }
}