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Pith Number

pith:BRGFRWQU

pith:1999:BRGFRWQUJV5DZOCSGWZOIG5L3W
not attested not anchored not stored refs pending

Two-point Functions at Two Loops in Three Flavour Chiral Perturbation Theory

Gabriel Amoros (Lund, Helsinki), Johan Bijnens (Lund), Pere Talavera (Lund)

arxiv:hep-ph/9907264 v1 · 1999-07-07 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BRGFRWQUJV5DZOCSGWZOIG5L3W}

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 2026-05-18T04:26:21.792219Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0c4c58da144d7a3cb85235b2e41babdd9a8c212d0d4e0443d485bbfde37a2477

Aliases

arxiv: hep-ph/9907264 · arxiv_version: hep-ph/9907264v1 · doi: 10.48550/arxiv.hep-ph/9907264 · pith_short_12: BRGFRWQUJV5D · pith_short_16: BRGFRWQUJV5DZOCS · pith_short_8: BRGFRWQU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BRGFRWQUJV5DZOCSGWZOIG5L3W \
  | 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: 0c4c58da144d7a3cb85235b2e41babdd9a8c212d0d4e0443d485bbfde37a2477
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c6d6faecb07d67b9b33eb2b8c2f6b5acc612e4aeff48e963ac5f51b234034171",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-07-07T14:59:49Z",
    "title_canon_sha256": "3b178d51a688aef25e7fa727b9048bfde6be081de91f32988bdec66bf8a00fd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9907264",
    "kind": "arxiv",
    "version": 1
  }
}