Pith Number

pith:7DGJMBTO

pith:2001:7DGJMBTOGSGEHEX3ERSHY5E5V2

not attested not anchored not stored refs pending

A C++ Code to Solve the DGLAP Equations Applied to Ultra High Energy Cosmic Rays

Ramon Toldra

arxiv:hep-ph/0108127 v2 · 2001-08-15 · hep-ph · astro-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{7DGJMBTOGSGEHEX3ERSHY5E5V2}

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	2026-05-18T02:36:39.459632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8cc96066e348c4392fb24647c749daebffa508c1aff1075bd506030eece9d94

Aliases

arxiv: hep-ph/0108127 · arxiv_version: hep-ph/0108127v2 · doi: 10.48550/arxiv.hep-ph/0108127 · pith_short_12: 7DGJMBTOGSGE · pith_short_16: 7DGJMBTOGSGEHEX3 · pith_short_8: 7DGJMBTO

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/7DGJMBTOGSGEHEX3ERSHY5E5V2 \
  | 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: f8cc96066e348c4392fb24647c749daebffa508c1aff1075bd506030eece9d94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cf3df2e69af0c8f673aba794f209f01963f6307ab1ddc40f120129461ae0031",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-08-15T16:40:19Z",
    "title_canon_sha256": "bbcdd9e2d5d06e5f83ee3f9b6aca22043bc1765dafe7f261498eca0f4cf745ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0108127",
    "kind": "arxiv",
    "version": 2
  }
}