Pith Number

pith:CZ7FIVV5

pith:2010:CZ7FIVV5PLG2VNQ6WJ57ST6SCA

not attested not anchored not stored refs pending

The logarithmic residue density of a generalised Laplacian

Jouko Mickelsson, Sylvie Paycha

arxiv:1008.3039 v1 · 2010-08-18 · math.DG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZ7FIVV5PLG2VNQ6WJ57ST6SCA}

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	2026-05-18T04:42:03.652782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

167e5456bd7acdaab61eb27bf94fd21002a73c35746d2c2a7e514c9e2dd9886e

Aliases

arxiv: 1008.3039 · arxiv_version: 1008.3039v1 · doi: 10.48550/arxiv.1008.3039 · pith_short_12: CZ7FIVV5PLG2 · pith_short_16: CZ7FIVV5PLG2VNQ6 · pith_short_8: CZ7FIVV5

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/CZ7FIVV5PLG2VNQ6WJ57ST6SCA \
  | 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: 167e5456bd7acdaab61eb27bf94fd21002a73c35746d2c2a7e514c9e2dd9886e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "808e1377beec7662eaab53697d6698c89d0052f0f9348273e159623279b491fb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-08-18T07:52:33Z",
    "title_canon_sha256": "e602bd2ae4a225a71ebefedf5e934fcbaa722fc28088bdd7e9a2cbbd169c9491"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3039",
    "kind": "arxiv",
    "version": 1
  }
}