Pith Number

pith:XOQ6KMTF

pith:2007:XOQ6KMTFEDOFV6DJS6CALDGVHB

not attested not anchored not stored refs pending

Universal local parametrizations via heat kernels and eigenfunctions of the Laplacian

Mauro Maggioni, Peter W. Jones, Raanan Schul

arxiv:0709.1975 v4 · 2007-09-13 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOQ6KMTFEDOFV6DJS6CALDGVHB}

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	2026-07-04T15:14:57.202086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bba1e5326520dc5af8699784058cd5387089e39f72481450612befdf7f9fa263

Aliases

arxiv: 0709.1975 · arxiv_version: 0709.1975v4 · doi: 10.48550/arxiv.0709.1975 · pith_short_12: XOQ6KMTFEDOF · pith_short_16: XOQ6KMTFEDOFV6DJ · pith_short_8: XOQ6KMTF

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/XOQ6KMTFEDOFV6DJS6CALDGVHB \
  | 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: bba1e5326520dc5af8699784058cd5387089e39f72481450612befdf7f9fa263

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c16dc91d402713b4e77d14bccd26d4fb3669b188feb15a15657db9059089d6fb",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2007-09-13T00:44:33Z",
    "title_canon_sha256": "41d02f792c624c01fe0f86874099b7980eaeadf0f9189dfe4bc2acc56fbf5d58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.1975",
    "kind": "arxiv",
    "version": 4
  }
}