Pith Number

pith:BLYJUZ77

pith:2018:BLYJUZ77XD75JAVKCVWKOOPHDY

not attested not anchored not stored refs pending

Multiplication on self-similar sets with overlaps

Jiangwen Gu, Kan Jiang, Lifeng Xi, Li Tian, Qianqian Ye

arxiv:1807.05368 v1 · 2018-07-14 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BLYJUZ77XD75JAVKCVWKOOPHDY}

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	2026-05-18T00:10:43.703774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0af09a67ffb8ffd482aa156ca739e71e2c08eca39b8e058daba0209fa7f99c83

Aliases

arxiv: 1807.05368 · arxiv_version: 1807.05368v1 · doi: 10.48550/arxiv.1807.05368 · pith_short_12: BLYJUZ77XD75 · pith_short_16: BLYJUZ77XD75JAVK · pith_short_8: BLYJUZ77

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/BLYJUZ77XD75JAVKCVWKOOPHDY \
  | 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: 0af09a67ffb8ffd482aa156ca739e71e2c08eca39b8e058daba0209fa7f99c83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f27219fee6efa17b351bfbc84c22d5e4165fa7125ec20bd7dc696e3a3ec73251",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-07-14T09:42:50Z",
    "title_canon_sha256": "2d231b95c623ec3cbd4e36aa2f3cf8dab89d5e6052db641680fbd8054ff70076"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05368",
    "kind": "arxiv",
    "version": 1
  }
}