Pith Number

pith:YTMHLLNT

pith:2016:YTMHLLNTFO6RWG5VYHUTCCT7BL

not attested not anchored not stored refs pending

Analytical solution to DGLAP integro-differential equation in a simple toy-model with a fixed gauge coupling

Bernd A. Kniehl, Gorazd Cvetic, Gustavo Alvarez, Igor Kondrashuk, Ivan Parra-Ferrada

arxiv:1611.08787 v2 · 2016-11-27 · hep-ph · math-ph · math.MP

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\usepackage{pith}
\pithnumber{YTMHLLNTFO6RWG5VYHUTCCT7BL}

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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

2 papers in Pith

Analytical solution to DGLAP integro-differential equation via complex maps in domains of contour integrals

Inverse Laplace and Mellin integral transforms modified for use in quantum communications

Receipt and verification

First computed	2026-07-05T06:03:20.036681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4d875adb32bbd1b1bb5c1e9310a7f0ae223478a09964e4c1227e59b2c136d24

Aliases

arxiv: 1611.08787 · arxiv_version: 1611.08787v2 · doi: 10.48550/arxiv.1611.08787 · pith_short_12: YTMHLLNTFO6R · pith_short_16: YTMHLLNTFO6RWG5V · pith_short_8: YTMHLLNT

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/YTMHLLNTFO6RWG5VYHUTCCT7BL \
  | 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: c4d875adb32bbd1b1bb5c1e9310a7f0ae223478a09964e4c1227e59b2c136d24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dcb0b944a65a9efa021933d1a330b4304046fdbecee0066afd5a77796c96257",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-11-27T04:56:35Z",
    "title_canon_sha256": "046dbe220ff4c62519fcb10e216c7360a0d169746a7f2ec96835e6520c0f92ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08787",
    "kind": "arxiv",
    "version": 2
  }
}