Pith Number

pith:DDZXMKHP

pith:2010:DDZXMKHPDMSNLVQ5BW2ZLR2I35

not attested not anchored not stored refs pending

Analysis of joint spectral multipliers on Lie groups of polynomial growth

Alessio Martini

arxiv:1010.1186 v2 · 2010-10-06 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DDZXMKHPDMSNLVQ5BW2ZLR2I35}

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	2026-05-18T03:31:43.276491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18f37628ef1b24d5d61d0db595c748df566ee424746f88e200fdabcaa966b541

Aliases

arxiv: 1010.1186 · arxiv_version: 1010.1186v2 · doi: 10.48550/arxiv.1010.1186 · pith_short_12: DDZXMKHPDMSN · pith_short_16: DDZXMKHPDMSNLVQ5 · pith_short_8: DDZXMKHP

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/DDZXMKHPDMSNLVQ5BW2ZLR2I35 \
  | 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: 18f37628ef1b24d5d61d0db595c748df566ee424746f88e200fdabcaa966b541

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a87fff1125bb7651d213c0867d4c13ede47314d2da87a95484b0dce7421b8923",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-10-06T15:59:13Z",
    "title_canon_sha256": "7672c0b6647ef71819cfa734c40514b57352808480bc96362fa6724bb48adad7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1186",
    "kind": "arxiv",
    "version": 2
  }
}