Pith Number

pith:XLQFBDO2

pith:2024:XLQFBDO24PRDCLRWQBSVDZBCGO

not attested not anchored not stored refs pending

Existence and Uniqueness of Permutation-Invariant Optimizers for Parisi Formula

Victor Issa

arxiv:2407.13846 v1 · 2024-07-18 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XLQFBDO24PRDCLRWQBSVDZBCGO}

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.

Cited by

1 paper in Pith

Balanced multi-species spin glasses

Receipt and verification

First computed	2026-07-05T08:45:54.185267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bae0508ddae3e2312e36806551e4223382a53006be2bc026b384e42402d93e6e

Aliases

arxiv: 2407.13846 · arxiv_version: 2407.13846v1 · doi: 10.48550/arxiv.2407.13846 · pith_short_12: XLQFBDO24PRD · pith_short_16: XLQFBDO24PRDCLRW · pith_short_8: XLQFBDO2

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/XLQFBDO24PRDCLRWQBSVDZBCGO \
  | 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: bae0508ddae3e2312e36806551e4223382a53006be2bc026b384e42402d93e6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44309646cf1f15aa8fc3ceb6dd0a447efff6eab9c6e4760343743d3b142effc4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-07-18T18:29:43Z",
    "title_canon_sha256": "b263a6372e585a1e1f4be690540c0497f0792c84ed0f884fba31f085c5753c5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.13846",
    "kind": "arxiv",
    "version": 1
  }
}