Pith Number

pith:FAHEFUM2

pith:2005:FAHEFUM2VGZKO3BGLA4GSZRABY

not attested not anchored not stored refs pending

Unifying the Fixed Order Evolution of Fragmentation Functions with the Modified Leading Logarithm Approximation

B.A. Kniehl, G. Kramer, S. Albino, W. Ochs

arxiv:hep-ph/0511228 v1 · 2005-11-18 · 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{FAHEFUM2VGZKO3BGLA4GSZRABY}

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	2026-05-18T04:24:44.411643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

280e42d19aa9b2a76c2658386966200e06db5e0db194c2bf89d6c17521f8379f

Aliases

arxiv: hep-ph/0511228 · arxiv_version: hep-ph/0511228v1 · doi: 10.48550/arxiv.hep-ph/0511228 · pith_short_12: FAHEFUM2VGZK · pith_short_16: FAHEFUM2VGZKO3BG · pith_short_8: FAHEFUM2

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/FAHEFUM2VGZKO3BGLA4GSZRABY \
  | 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: 280e42d19aa9b2a76c2658386966200e06db5e0db194c2bf89d6c17521f8379f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40ba193b32c669b3b30f2d5ec7b75dffc272f929bf920595125b6e0f8a9961af",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-11-18T14:51:13Z",
    "title_canon_sha256": "a9eebc2a74637aa62126e58d2fd10ce8819bbdbc85997ead4dfc16685d609af1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0511228",
    "kind": "arxiv",
    "version": 1
  }
}