Pith Number

pith:YDAPYYDP

pith:2025:YDAPYYDPLVZX4RYAW2GGLDMCNU

not attested not anchored not stored refs pending

Tight Low Degree Hardness for Optimizing Pure Spherical Spin Glasses

Mark Sellke

arxiv:2504.04632 v1 · 2025-04-06 · math.PR · cond-mat.dis-nn · cs.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YDAPYYDPLVZX4RYAW2GGLDMCNU}

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

Algorithmic Phase Transition for Large Independent Sets in Dense Hypergraphs

Receipt and verification

First computed	2026-07-05T10:45:27.370443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0c0fc606f5d737e4700b68c658d826d36ef2c872f65648b001087033bda22cf

Aliases

arxiv: 2504.04632 · arxiv_version: 2504.04632v1 · doi: 10.48550/arxiv.2504.04632 · pith_short_12: YDAPYYDPLVZX · pith_short_16: YDAPYYDPLVZX4RYA · pith_short_8: YDAPYYDP

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/YDAPYYDPLVZX4RYAW2GGLDMCNU \
  | 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: c0c0fc606f5d737e4700b68c658d826d36ef2c872f65648b001087033bda22cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "636fd75ea308ff07942d60be323fccb9cde6ca9ed824ba2b20d5967d5e743249",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.DS",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-04-06T22:01:47Z",
    "title_canon_sha256": "9a437dc0a5abce215a9664493a14ce46357e45a52c37b774897560dba6a081f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.04632",
    "kind": "arxiv",
    "version": 1
  }
}