Pith Number

pith:SVAAWZRW

pith:2007:SVAAWZRWYPGEUN4XAPJNU6YM6F

not attested not anchored not stored refs pending

Resonance between Cantor sets

Pablo Shmerkin, Yuval Peres

arxiv:0705.2628 v2 · 2007-05-18 · math.CA · 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{SVAAWZRWYPGEUN4XAPJNU6YM6F}

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	2026-05-18T03:30:26.389111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95400b6636c3cc4a379703d2da7b0cf160e3d5d9f9ffa22137cd0b55681dffa3

Aliases

arxiv: 0705.2628 · arxiv_version: 0705.2628v2 · doi: 10.48550/arxiv.0705.2628 · pith_short_12: SVAAWZRWYPGE · pith_short_16: SVAAWZRWYPGEUN4X · pith_short_8: SVAAWZRW

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/SVAAWZRWYPGEUN4XAPJNU6YM6F \
  | 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: 95400b6636c3cc4a379703d2da7b0cf160e3d5d9f9ffa22137cd0b55681dffa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fe7351fa018f42e9df060a05365efd008f05a61899e9b4c862753e2d716990f",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2007-05-18T04:08:27Z",
    "title_canon_sha256": "f10b3d18b3ee1c72e88ee1ecbd79baccb9cd915533cbd01aee542bb52d0be259"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.2628",
    "kind": "arxiv",
    "version": 2
  }
}