Pith Number

pith:L7XOVMTH

pith:2009:L7XOVMTHSXHDLBEDD6KGBIJIJR

not attested not anchored not stored refs pending

Transverse Laplacians for Substitution Tilings

Antoine Julien, Jean Savinien

arxiv:0908.1095 v1 · 2009-08-07 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7XOVMTHSXHDLBEDD6KGBIJIJR}

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	2026-05-18T02:12:36.610106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5feeeab26795ce3584831f9460a1284c749d63039118db8dd021ce34b80755b4

Aliases

arxiv: 0908.1095 · arxiv_version: 0908.1095v1 · doi: 10.48550/arxiv.0908.1095 · pith_short_12: L7XOVMTHSXHD · pith_short_16: L7XOVMTHSXHDLBED · pith_short_8: L7XOVMTH

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/L7XOVMTHSXHDLBEDD6KGBIJIJR \
  | 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: 5feeeab26795ce3584831f9460a1284c749d63039118db8dd021ce34b80755b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eddb4d8d90ce6b934b33f65dcdce9938f8c2e9d8da88482b4d2ef43c10e27fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-08-07T18:13:10Z",
    "title_canon_sha256": "42679713f83a24ced125b564975895fca6d95f32c285acd83bcc8a6156fd41f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1095",
    "kind": "arxiv",
    "version": 1
  }
}