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Pith Number

pith:NC6E5EVW

pith:2005:NC6E5EVWQY5LI5M4FET6NTABMI
not attested not anchored not stored refs pending

Dense-Dilute Duality at work: dipoles of the target

Alex Kovner, Michael Lublinsky

arxiv:hep-ph/0503155 v2 · 2005-03-16 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NC6E5EVWQY5LI5M4FET6NTABMI}

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 2026-07-04T16:55:37.486489Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

68bc4e92b6863ab4759c2927e6cc0162336c53ae1f85edb5b0cc0cf4966c9481

Aliases

arxiv: hep-ph/0503155 · arxiv_version: hep-ph/0503155v2 · doi: 10.48550/arxiv.hep-ph/0503155 · pith_short_12: NC6E5EVWQY5L · pith_short_16: NC6E5EVWQY5LI5M4 · pith_short_8: NC6E5EVW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NC6E5EVWQY5LI5M4FET6NTABMI \
  | 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: 68bc4e92b6863ab4759c2927e6cc0162336c53ae1f85edb5b0cc0cf4966c9481
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b4dc2eef2522d6f5818023827137f0d83f6396381b1180bdfd2b002b50d67d73",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-03-16T14:56:24Z",
    "title_canon_sha256": "c9fc852b481bcb8ae403b55caa4ac5a49a54351efe890ebde355dc341a168b6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0503155",
    "kind": "arxiv",
    "version": 2
  }
}