Pith Number

pith:XUY5J6UW

pith:2000:XUY5J6UWDMURKPVKMT7MIWNH6A

not attested not anchored not stored refs pending

Twist-3 contribution to the $\gamma^*\gamma\to \pi\pi$ amplitude in the Wandzura-Wilczek approximation

L. Mankiewicz, N. Kivel

arxiv:hep-ph/0010161 v1 · 2000-10-16 · 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{XUY5J6UWDMURKPVKMT7MIWNH6A}

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	2026-07-04T16:20:28.994375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd31d4fa961b29153eaa64fec459a7f03ea4c31f69629a07894f8447cd14655c

Aliases

arxiv: hep-ph/0010161 · arxiv_version: hep-ph/0010161v1 · doi: 10.48550/arxiv.hep-ph/0010161 · pith_short_12: XUY5J6UWDMUR · pith_short_16: XUY5J6UWDMURKPVK · pith_short_8: XUY5J6UW

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/XUY5J6UWDMURKPVKMT7MIWNH6A \
  | 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: bd31d4fa961b29153eaa64fec459a7f03ea4c31f69629a07894f8447cd14655c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc2b5cf17f0562a70f4f448156dbcb686cf1338a4bc4a2018556867ab47d6ef9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-10-16T12:30:27Z",
    "title_canon_sha256": "f2126b738f8585b6f1b76b5bbc274da86fbfa067446aa2725d04fd0315bccfb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0010161",
    "kind": "arxiv",
    "version": 1
  }
}