Pith Number

pith:LNFNPZIU

pith:2012:LNFNPZIULNHBVNAOHOYR7LXL32

not attested not anchored not stored refs pending

Harmonic functions and the spectrum of the Laplacian on the Sierpinski carpet

Matthew Begue, Robert S. Strichartz, Tristan Kalloniatis

arxiv:1201.5136 v1 · 2012-01-24 · math-ph · math.AP · 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{LNFNPZIULNHBVNAOHOYR7LXL32}

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	2026-05-18T01:58:42.389147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b4ad7e5145b4e1ab40e3bb11faeebdeae94d9dda8ee8975d86ac60f032e82dc

Aliases

arxiv: 1201.5136 · arxiv_version: 1201.5136v1 · doi: 10.48550/arxiv.1201.5136 · pith_short_12: LNFNPZIULNHB · pith_short_16: LNFNPZIULNHBVNAO · pith_short_8: LNFNPZIU

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/LNFNPZIULNHBVNAOHOYR7LXL32 \
  | 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: 5b4ad7e5145b4e1ab40e3bb11faeebdeae94d9dda8ee8975d86ac60f032e82dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63fcc058db20bf79fc26609f8625360d669ed5aa0a75209aa97cc5f2370caf30",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-01-24T21:38:59Z",
    "title_canon_sha256": "c8975ae2f25fe608537d36a85d153472eebcdb0608af87bed5d860230363a40e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5136",
    "kind": "arxiv",
    "version": 1
  }
}