Pith Number

pith:EFPHHLT6

pith:2026:EFPHHLT6TVOB7SLFP6GGGCQHP7

not attested not anchored not stored refs pending

Hot spots in convex hyperbolic planar domains with small eigenvalues

Lawford Hatcher

arxiv:2605.21621 v1 · 2026-05-20 · 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{EFPHHLT6TVOB7SLFP6GGGCQHP7}

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.

Receipt and verification

First computed	2026-05-22T01:03:25.785711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

215e73ae7e9d5c1fc9657f8c630a077fef45f029ed048ddd966d118dc8636c21

Aliases

arxiv: 2605.21621 · arxiv_version: 2605.21621v1 · doi: 10.48550/arxiv.2605.21621 · pith_short_12: EFPHHLT6TVOB · pith_short_16: EFPHHLT6TVOB7SLF · pith_short_8: EFPHHLT6

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/EFPHHLT6TVOB7SLFP6GGGCQHP7 \
  | 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: 215e73ae7e9d5c1fc9657f8c630a077fef45f029ed048ddd966d118dc8636c21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d00a9fbf9f77a6f7e1b846cc8555b82dba0a637f7ffc882387bb46ee76a82ac2",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2026-05-20T18:32:09Z",
    "title_canon_sha256": "a16bfdc3994493ce0b2ba6f1b058bfdbec820f1173951020c388d67acc846935"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21621",
    "kind": "arxiv",
    "version": 1
  }
}