Pith Number

pith:DHDOGPJP

pith:2002:DHDOGPJPIACHLPD2EIU4EZHGMQ

not attested not anchored not stored refs pending

Dispersion relations and Omn\`es representations for $K \to \pi\pi$ decay amplitudes

C. Bourrely, I. Caprini, L. Micu

arxiv:hep-ph/0212016 v1 · 2002-12-02 · 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{DHDOGPJPIACHLPD2EIU4EZHGMQ}

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	2026-05-18T04:13:25.662725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19c6e33d2f400475bc7a2229c264e664148ad6e6ee112b37a87abff7ce5733b1

Aliases

arxiv: hep-ph/0212016 · arxiv_version: hep-ph/0212016v1 · doi: 10.48550/arxiv.hep-ph/0212016 · pith_short_12: DHDOGPJPIACH · pith_short_16: DHDOGPJPIACHLPD2 · pith_short_8: DHDOGPJP

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/DHDOGPJPIACHLPD2EIU4EZHGMQ \
  | 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: 19c6e33d2f400475bc7a2229c264e664148ad6e6ee112b37a87abff7ce5733b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "364cabdc12d85a22bcaf759e5d2f2ba1639419f79193a93230fe641ac8897fdf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-12-02T10:59:11Z",
    "title_canon_sha256": "8568004037707309902c51a16a6852ad5363027e3479b9a370198c74c382437f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0212016",
    "kind": "arxiv",
    "version": 1
  }
}