Pith Number

pith:6XNR47YR

pith:2009:6XNR47YRJPDAZNAYAX5EEIQPW6

not attested not anchored not stored refs pending

Pseudodifferential Operators and Regularized Traces

Matthias Lesch

arxiv:0901.1689 v3 · 2009-01-13 · math.OA · 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{6XNR47YRJPDAZNAYAX5EEIQPW6}

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	2026-05-18T04:00:36.544470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5db1e7f114bc60cb41805fa42220fb79d95a2c059ef3105ca0e8626f2f5bd42

Aliases

arxiv: 0901.1689 · arxiv_version: 0901.1689v3 · doi: 10.48550/arxiv.0901.1689 · pith_short_12: 6XNR47YRJPDA · pith_short_16: 6XNR47YRJPDAZNAY · pith_short_8: 6XNR47YR

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/6XNR47YRJPDAZNAYAX5EEIQPW6 \
  | 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: f5db1e7f114bc60cb41805fa42220fb79d95a2c059ef3105ca0e8626f2f5bd42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee4ab18b98245f51bb14aed0df73cb62885b9c0871981a762b9ea080245d1ed7",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-01-13T00:07:05Z",
    "title_canon_sha256": "2b3a7a8512481d257ad62d3ad9a44c49d80f95f7c83e0035093300aad7698d8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.1689",
    "kind": "arxiv",
    "version": 3
  }
}