Pith Number

pith:HZENJ7Y6

pith:2025:HZENJ7Y6OMI75RF3FIJXPVETUT

not attested not anchored not stored refs pending

Uniqueness of Parisi measures for enriched convex vector spin glass

Hong-Bin Chen (IHES), Victor Issa (ENS de Lyon)

arxiv:2504.15818 v2 · 2025-04-22 · math.PR · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZENJ7Y6OMI75RF3FIJXPVETUT}

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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

Balanced multi-species spin glasses

Receipt and verification

First computed	2026-07-05T10:53:18.412947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e48d4ff1e7311fec4bb2a1377d493a4de62724a0cb3b5239872352d15ace0ee

Aliases

arxiv: 2504.15818 · arxiv_version: 2504.15818v2 · doi: 10.48550/arxiv.2504.15818 · pith_short_12: HZENJ7Y6OMI7 · pith_short_16: HZENJ7Y6OMI75RF3 · pith_short_8: HZENJ7Y6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HZENJ7Y6OMI75RF3FIJXPVETUT \
  | 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: 3e48d4ff1e7311fec4bb2a1377d493a4de62724a0cb3b5239872352d15ace0ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36072af2951e7a13a349caf51f8e20ff0e26120000241b61b6271b7d835614db",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-04-22T12:03:46Z",
    "title_canon_sha256": "1280e54e593edcf09ac4fdc54df53a22ad909c746fc4854c0067dc0576bf18ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.15818",
    "kind": "arxiv",
    "version": 2
  }
}