Pith Number

pith:T64LGT72

pith:2018:T64LGT72UGBHNMLSCRHKJDNMBT

not attested not anchored not stored refs pending

Dirichlet forms on self-similar sets with overlaps

Hua Qiu, Shiping Cao

arxiv:1806.09098 v1 · 2018-06-24 · math.FA · 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{T64LGT72UGBHNMLSCRHKJDNMBT}

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	2026-05-18T00:12:30.328825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fb8b34ffaa18276b172144ea48dac0cead7bdc1a3ae9c8cd403bcc16e0f02a6

Aliases

arxiv: 1806.09098 · arxiv_version: 1806.09098v1 · doi: 10.48550/arxiv.1806.09098 · pith_short_12: T64LGT72UGBH · pith_short_16: T64LGT72UGBHNMLS · pith_short_8: T64LGT72

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/T64LGT72UGBHNMLSCRHKJDNMBT \
  | 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: 9fb8b34ffaa18276b172144ea48dac0cead7bdc1a3ae9c8cd403bcc16e0f02a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04a426d7f98e4ff04323b43a51f668265426f9c3bd29975af7cf20999f4cd453",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-06-24T07:43:21Z",
    "title_canon_sha256": "75acf6db09d55a530c0a63f5778bdc147678c84b30ca74b9fcf0660c34e0a044"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09098",
    "kind": "arxiv",
    "version": 1
  }
}