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Pith Number

pith:ZZNAQ3CN

pith:2005:ZZNAQ3CNR3EL3OMDODMWFUCEII
not attested not anchored not stored refs pending

Derivative dispersion relations above the physical threshold

M. J. Menon, R.F. Avila

arxiv:hep-ph/0512166 v3 · 2005-12-13 · hep-ph · hep-ex · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZZNAQ3CNR3EL3OMDODMWFUCEII}

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 2026-05-18T04:16:21.532131Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ce5a086c4d8ec8bdb98370d962d044423856099c9e98a473a6bc5f43d5b36a9c

Aliases

arxiv: hep-ph/0512166 · arxiv_version: hep-ph/0512166v3 · doi: 10.48550/arxiv.hep-ph/0512166 · pith_short_12: ZZNAQ3CNR3EL · pith_short_16: ZZNAQ3CNR3EL3OMD · pith_short_8: ZZNAQ3CN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZZNAQ3CNR3EL3OMDODMWFUCEII \
  | 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: ce5a086c4d8ec8bdb98370d962d044423856099c9e98a473a6bc5f43d5b36a9c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3352b6761b580161214745bbe482871988b39bcd7ee817e6f95f035eeb31879f",
    "cross_cats_sorted": [
      "hep-ex",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-12-13T19:30:26Z",
    "title_canon_sha256": "6617d06fa899300f7c1c20bdb0777f14bc4e2e8af388f4432ea3e768943c844f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0512166",
    "kind": "arxiv",
    "version": 3
  }
}