Pith Number

pith:K27G4BOL

pith:2025:K27G4BOLLGSBPI5IKM363GBHUE

not attested not anchored not stored refs pending

Spectral multipliers on two-step stratified Lie groups with degenerate group structure

Lars Niedorf

arxiv:2501.16262 v2 · 2025-01-27 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K27G4BOLLGSBPI5IKM363GBHUE}

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	2026-07-05T10:12:03.477394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56be6e05cb59a417a3a85337ed9827a10c115dd715fa12cc8d7fdc1adda5f75b

Aliases

arxiv: 2501.16262 · arxiv_version: 2501.16262v2 · doi: 10.48550/arxiv.2501.16262 · pith_short_12: K27G4BOLLGSB · pith_short_16: K27G4BOLLGSBPI5I · pith_short_8: K27G4BOL

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/K27G4BOLLGSBPI5IKM363GBHUE \
  | 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: 56be6e05cb59a417a3a85337ed9827a10c115dd715fa12cc8d7fdc1adda5f75b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd21cea43e1b09ae2d6741940e053a6c0641b00f1e708ed123e7ccbb7d575b8f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-01-27T18:00:36Z",
    "title_canon_sha256": "36429e765ff834d2874ce47ae5f0080d92172d384657999dc1864e5c8224683e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.16262",
    "kind": "arxiv",
    "version": 2
  }
}