Pith Number

pith:BC62CMNW

pith:2009:BC62CMNWINLTZ6KIZDUAEKMOLE

not attested not anchored not stored refs pending

Local trace formulae and scaling asymptotics in Toeplitz quantization

Roberto Paoletti

arxiv:0907.4225 v1 · 2009-07-24 · math.SP · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BC62CMNWINLTZ6KIZDUAEKMOLE}

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	2026-05-18T02:12:54.009073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08bda131b643573cf948c8e802298e59324c827a40be6842834c8797f6ddf066

Aliases

arxiv: 0907.4225 · arxiv_version: 0907.4225v1 · doi: 10.48550/arxiv.0907.4225 · pith_short_12: BC62CMNWINLT · pith_short_16: BC62CMNWINLTZ6KI · pith_short_8: BC62CMNW

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/BC62CMNWINLTZ6KIZDUAEKMOLE \
  | 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: 08bda131b643573cf948c8e802298e59324c827a40be6842834c8797f6ddf066

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73fa069c831eaae170bb36ab8979e65ac7738b991fb18e01efdd18f025601f2c",
    "cross_cats_sorted": [
      "math.AG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2009-07-24T06:44:52Z",
    "title_canon_sha256": "8ea495ac3598980c4b1a2ed4833cf27b25c58d14a5f70a55e47ceea001fe3dc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4225",
    "kind": "arxiv",
    "version": 1
  }
}