Pith Number

pith:L4SVSETJ

pith:2025:L4SVSETJA3GCMTK6LD43D4ETM2

not attested not anchored not stored refs pending

Sharp bounds on the failure of the hot spots conjecture

Alexander W. Hsu, Jaume de Dios Pont, Mitchell A. Taylor

arxiv:2508.16321 v1 · 2025-08-22 · math.SP · math-ph · math.AP · 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{L4SVSETJA3GCMTK6LD43D4ETM2}

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

The hot spots conjecture on Gaussian spaces

Receipt and verification

First computed	2026-07-05T11:57:46.052474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f2559126906cc264d5e58f9b1f093669d04b29c5af02b187990ccb929c7a65a

Aliases

arxiv: 2508.16321 · arxiv_version: 2508.16321v1 · doi: 10.48550/arxiv.2508.16321 · pith_short_12: L4SVSETJA3GC · pith_short_16: L4SVSETJA3GCMTK6 · pith_short_8: L4SVSETJ

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/L4SVSETJA3GCMTK6LD43D4ETM2 \
  | 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: 5f2559126906cc264d5e58f9b1f093669d04b29c5af02b187990ccb929c7a65a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6bdfbfa5998e06f3184f2f5daa46c7b7611aaf8472db819faf0fbe8cb7cf12f",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2025-08-22T12:03:27Z",
    "title_canon_sha256": "41b28af8638c4091aa45e05f3c3b14917038c213c9a128573fce989f00be4666"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.16321",
    "kind": "arxiv",
    "version": 1
  }
}