pith. sign in
Pith Number

pith:Q6WGU3AL

pith:2013:Q6WGU3ALLLFGAJDFLUUUNLKKDH
not attested not anchored not stored refs pending

Commuting Matrix Solutions of PQCD Evolution Equations

Mehrdad Goshtasbpour, Seyed Ali Shafiei

arxiv:1303.3985 v1 · 2013-03-16 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Q6WGU3ALLLFGAJDFLUUUNLKKDH}

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 2026-05-18T03:30:40.247602Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

87ac6a6c0b5aca6024655d2946ad4a19e1afaec3e41d3396ac917496f0711d87

Aliases

arxiv: 1303.3985 · arxiv_version: 1303.3985v1 · doi: 10.48550/arxiv.1303.3985 · pith_short_12: Q6WGU3ALLLFG · pith_short_16: Q6WGU3ALLLFGAJDF · pith_short_8: Q6WGU3AL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Q6WGU3ALLLFGAJDFLUUUNLKKDH \
  | 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: 87ac6a6c0b5aca6024655d2946ad4a19e1afaec3e41d3396ac917496f0711d87
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "33d423182c84832fc1410d77584bd33cf739f58ba29b9496e692afcba84f78f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-03-16T14:46:58Z",
    "title_canon_sha256": "716ee8141f3f1a8f94d2e141023c045bfa2530b3431062572768e7c9952309a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3985",
    "kind": "arxiv",
    "version": 1
  }
}