Pith Number

pith:WHLNSKZT

pith:2001:WHLNSKZTMWUV2BTLK7Z2HTBPNG

not attested not anchored not stored refs pending

Tiling and spectral properties of near-cubic domains

Izabella Laba, Mihail N. Kolountzakis

arxiv:math/0106012 v2 · 2001-06-02 · math.CA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WHLNSKZTMWUV2BTLK7Z2HTBPNG}

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	2026-05-18T01:05:37.737846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1d6d92b3365a95d066b57f3a3cc2f6994818f475025ee8e221f47b05a22686b

Aliases

arxiv: math/0106012 · arxiv_version: math/0106012v2 · doi: 10.48550/arxiv.math/0106012 · pith_short_12: WHLNSKZTMWUV · pith_short_16: WHLNSKZTMWUV2BTL · pith_short_8: WHLNSKZT

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/WHLNSKZTMWUV2BTLK7Z2HTBPNG \
  | 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: b1d6d92b3365a95d066b57f3a3cc2f6994818f475025ee8e221f47b05a22686b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c45f88cef124631810161c421416c442a2bbb0d875e0bd2a6998a9a9910b141",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2001-06-02T19:58:04Z",
    "title_canon_sha256": "a6ea86929a92979ea18278a898e64f7e64567e0b32afb0068d4f8446347ec15d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0106012",
    "kind": "arxiv",
    "version": 2
  }
}