Pith Number

pith:SYCK6L3S

pith:2010:SYCK6L3SXOAFCT6WMZ2SNCBDKA

not attested not anchored not stored refs pending

Spectral theory for commutative algebras of differential operators on Lie groups

Alessio Martini

arxiv:1007.5248 v1 · 2010-07-29 · math.FA · math.OA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SYCK6L3SXOAFCT6WMZ2SNCBDKA}

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	2026-05-18T03:31:43.297240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9604af2f72bb80514fd6667526882350174007ec2c554af150628964438a56e1

Aliases

arxiv: 1007.5248 · arxiv_version: 1007.5248v1 · doi: 10.48550/arxiv.1007.5248 · pith_short_12: SYCK6L3SXOAF · pith_short_16: SYCK6L3SXOAFCT6W · pith_short_8: SYCK6L3S

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/SYCK6L3SXOAFCT6WMZ2SNCBDKA \
  | 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: 9604af2f72bb80514fd6667526882350174007ec2c554af150628964438a56e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7fa3c4647869c0b4ecee77342d67d35cf8c8d515290f74ae111a8bc3723c7a6",
    "cross_cats_sorted": [
      "math.OA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-07-29T15:29:36Z",
    "title_canon_sha256": "c5470d6efcdcf2dcf84d7f9fb0a9e480b7a3c476bc523f54c4a25a61ac97035a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.5248",
    "kind": "arxiv",
    "version": 1
  }
}