Pith. sign in
Pith Number

pith:MMLZMLNI

pith:2006:MMLZMLNIYMMHRBTBRWOUW5T2NW
not attested not anchored not stored refs pending

Crossed Threshold Resummation

George Sterman (Stony Brook), Werner Vogelsang (BNL)

arxiv:hep-ph/0606211 v1 · 2006-06-20 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MMLZMLNIYMMHRBTBRWOUW5T2NW}

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

2 papers in Pith

Receipt and verification
First computed 2026-07-04T15:19:25.401001Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6317962da8c3187886618d9d4b767a6d934fcbb26a0885dc9e1219fd414db85f

Aliases

arxiv: hep-ph/0606211 · arxiv_version: hep-ph/0606211v1 · doi: 10.48550/arxiv.hep-ph/0606211 · pith_short_12: MMLZMLNIYMMH · pith_short_16: MMLZMLNIYMMHRBTB · pith_short_8: MMLZMLNI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MMLZMLNIYMMHRBTBRWOUW5T2NW \
  | 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: 6317962da8c3187886618d9d4b767a6d934fcbb26a0885dc9e1219fd414db85f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cd71c365b60acd75075aed001c9c0bdd88c16701352b03623f7d9e23da10d59d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-06-20T12:52:12Z",
    "title_canon_sha256": "31c5e1cbe7757acb414dee0a9f99152018d5917b02b13b8e4a558946d4e7739f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0606211",
    "kind": "arxiv",
    "version": 1
  }
}