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Pith Number

pith:P3YLOJ6U

pith:2019:P3YLOJ6UF5INPVCGY5K3NONDGH
not attested not anchored not stored refs pending

The Cardy Formula from Goldstone Bosons

Edi Halyo

arxiv:1907.08149 v1 · 2019-07-18 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{P3YLOJ6UF5INPVCGY5K3NONDGH}

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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 2026-05-17T23:40:14.933958Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7ef0b727d42f50d7d446c755b6b9a331ea85ff5d7fdedeb3bfef075ef0c37218

Aliases

arxiv: 1907.08149 · arxiv_version: 1907.08149v1 · doi: 10.48550/arxiv.1907.08149 · pith_short_12: P3YLOJ6UF5IN · pith_short_16: P3YLOJ6UF5INPVCG · pith_short_8: P3YLOJ6U
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/P3YLOJ6UF5INPVCGY5K3NONDGH \
  | 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: 7ef0b727d42f50d7d446c755b6b9a331ea85ff5d7fdedeb3bfef075ef0c37218
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "da5d1f7f75f71f4245079cb24c5e7046d079d213cec6d360f71475680ba494f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-07-18T16:41:38Z",
    "title_canon_sha256": "8fe039dad30a08951882e96670d8eb956040a27cb0a66fa43c69ffeb956aed63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08149",
    "kind": "arxiv",
    "version": 1
  }
}