Pith Number

pith:PMXDOAUI

pith:2010:PMXDOAUI3DU66P7R2QEY6J3VD7

not attested not anchored not stored refs pending

Pointwise tube formulas for fractal sprays and self-similar tilings with arbitrary generators

Erin P. J. Pearse, Michel L. Lapidus, Steffen Winter

arxiv:1006.3807 v3 · 2010-06-18 · math.MG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMXDOAUI3DU66P7R2QEY6J3VD7}

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	2026-05-18T04:24:07.253667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b2e370288d8e9ef3ff1d4098f27751fc5f7c84e024331ac7478a5704ec4fc78

Aliases

arxiv: 1006.3807 · arxiv_version: 1006.3807v3 · doi: 10.48550/arxiv.1006.3807 · pith_short_12: PMXDOAUI3DU6 · pith_short_16: PMXDOAUI3DU66P7R · pith_short_8: PMXDOAUI

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/PMXDOAUI3DU66P7R2QEY6J3VD7 \
  | 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: 7b2e370288d8e9ef3ff1d4098f27751fc5f7c84e024331ac7478a5704ec4fc78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c12ca5fae24547e5647cc4fef2a7ae45d35d5e5bd2472b23d3113c432c29ecd",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-06-18T20:49:31Z",
    "title_canon_sha256": "24469341e856c4117446b85a0ecb9a06321fd2664e8659487ad29499cabe1dc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3807",
    "kind": "arxiv",
    "version": 3
  }
}