Pith Number

pith:RMHEPRQL

pith:2025:RMHEPRQLBHPU6QUSXXZEM3I4UE

not attested not anchored not stored refs pending

Hot spots in domains of constant curvature

Lawford Hatcher

arxiv:2508.13353 v1 · 2025-08-18 · math.SP · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RMHEPRQLBHPU6QUSXXZEM3I4UE}

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	2026-07-05T11:55:46.732378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b0e47c60b09df4f4292bdf2466d1ca133579fae8cab3a3ec1b6a215dc16eb06

Aliases

arxiv: 2508.13353 · arxiv_version: 2508.13353v1 · doi: 10.48550/arxiv.2508.13353 · pith_short_12: RMHEPRQLBHPU · pith_short_16: RMHEPRQLBHPU6QUS · pith_short_8: RMHEPRQL

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/RMHEPRQLBHPU6QUSXXZEM3I4UE \
  | 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: 8b0e47c60b09df4f4292bdf2466d1ca133579fae8cab3a3ec1b6a215dc16eb06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70d4450875cb7173425889962ea62c48bb90c3813f8f1750c4cfe87fdde0c5fe",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2025-08-18T20:33:03Z",
    "title_canon_sha256": "b037e2f168055262d728456bf2f8addd561c1276c8c8fb7d70bc915829adc66e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.13353",
    "kind": "arxiv",
    "version": 1
  }
}