Pith Number

pith:2VVPJ6O6

pith:2024:2VVPJ6O66GIUPCTRGMR6UDKU67

not attested not anchored not stored refs pending

Next-to-leading order evolution of structure functions without PDFs

Hannu Paukkunen, Heikki M\"antysaari, Mirja Tevio, Tuomas Lappi

arxiv:2412.09589 v3 · 2024-12-12 · 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{2VVPJ6O66GIUPCTRGMR6UDKU67}

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.

Cited by

1 paper in Pith

PDF evolution in alternative factorisation schemes

Receipt and verification

First computed	2026-07-05T12:03:23.710099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d56af4f9def191478a713323ea0d54f7e3a6aed59eb4f7b8aed43ef9af247a69

Aliases

arxiv: 2412.09589 · arxiv_version: 2412.09589v3 · doi: 10.48550/arxiv.2412.09589 · pith_short_12: 2VVPJ6O66GIU · pith_short_16: 2VVPJ6O66GIUPCTR · pith_short_8: 2VVPJ6O6

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/2VVPJ6O66GIUPCTRGMR6UDKU67 \
  | 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: d56af4f9def191478a713323ea0d54f7e3a6aed59eb4f7b8aed43ef9af247a69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6e3f318bf862d851c5d613e1445bd9f2758f6850a69fc662213a0b2a5f09148",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2024-12-12T18:56:09Z",
    "title_canon_sha256": "042d872edc6db1530da3b203a426f74a7ef078619c64dee72b758b6f6c38a201"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.09589",
    "kind": "arxiv",
    "version": 3
  }
}