Pith Number

pith:SMOPNN2N

pith:2001:SMOPNN2N2CP6Y5AEICAKAHFMXS

not attested not anchored not stored refs pending

Threshold expansion for heavy-light systems and flavor off-diagonal current-current correlators

Andrzej Czarnecki, Kirill Melnikov

arxiv:hep-ph/0110028 v1 · 2001-10-02 · 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{SMOPNN2N2CP6Y5AEICAKAHFMXS}

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	2026-07-04T16:27:30.573850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

931cf6b74dd09fec74044080a01cacbcb12cfca9e8c58bc50b1740d936576072

Aliases

arxiv: hep-ph/0110028 · arxiv_version: hep-ph/0110028v1 · doi: 10.48550/arxiv.hep-ph/0110028 · pith_short_12: SMOPNN2N2CP6 · pith_short_16: SMOPNN2N2CP6Y5AE · pith_short_8: SMOPNN2N

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/SMOPNN2N2CP6Y5AEICAKAHFMXS \
  | 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: 931cf6b74dd09fec74044080a01cacbcb12cfca9e8c58bc50b1740d936576072

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a57862076c57f1a19f26e6f8cbb2afb0944b7508704a100375ad50aef183a1e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-10-02T03:15:52Z",
    "title_canon_sha256": "1d5117eba11b3d971b0202817872ed680018b09d6ec8f7409c411344cbe24330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0110028",
    "kind": "arxiv",
    "version": 1
  }
}