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Pith Number

pith:CXIB3USB

pith:2021:CXIB3USBE4MFQPLUKLYNSBML6M
not attested not anchored not stored refs pending

TAP approach for multi-species spherical spin glasses I: general theory

Eliran Subag

arxiv:2111.07132 v1 · 2021-11-13 · math.PR · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CXIB3USBE4MFQPLUKLYNSBML6M}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T03:31:36.289051Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

15d01dd2412718583d7452f0d9058bf3014c28a4dde13f114d721d441bd4c8b7

Aliases

arxiv: 2111.07132 · arxiv_version: 2111.07132v1 · doi: 10.48550/arxiv.2111.07132 · pith_short_12: CXIB3USBE4MF · pith_short_16: CXIB3USBE4MFQPLU · pith_short_8: CXIB3USB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CXIB3USBE4MFQPLUKLYNSBML6M \
  | 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: 15d01dd2412718583d7452f0d9058bf3014c28a4dde13f114d721d441bd4c8b7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1a20422782a6db2b160912c12b8e5178a5b0d3b1aabaf4e2e60dbb77dce348d3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-11-13T15:21:40Z",
    "title_canon_sha256": "e366d0afae1a5cba084f2dd6ce8bf7237e8d90b523164c485cef33fcb15d2ec5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.07132",
    "kind": "arxiv",
    "version": 1
  }
}