Pith Number

pith:AMNRKZNP

pith:2004:AMNRKZNPJ3YEHHLU4VONGCZKMR

not attested not anchored not stored refs pending

Overlapping self-affine sets

Pablo Shmerkin

arxiv:math/0408203 v1 · 2004-08-16 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AMNRKZNPJ3YEHHLU4VONGCZKMR}

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	2026-05-18T03:30:38.590932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

031b1565af4ef0439d74e55cd30b2a645912ebbfff84ec81754f14f897551a02

Aliases

arxiv: math/0408203 · arxiv_version: math/0408203v1 · doi: 10.48550/arxiv.math/0408203 · pith_short_12: AMNRKZNPJ3YE · pith_short_16: AMNRKZNPJ3YEHHLU · pith_short_8: AMNRKZNP

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/AMNRKZNPJ3YEHHLU4VONGCZKMR \
  | 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: 031b1565af4ef0439d74e55cd30b2a645912ebbfff84ec81754f14f897551a02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41408e40ebd51ff8d1c8f893afe4569e17c245b61d5866b47a1f6fa5bcd96edd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2004-08-16T04:27:17Z",
    "title_canon_sha256": "5ff7b591105bb7456feeee298c971dbdd63617216b90bd38952c150ef7b8296d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0408203",
    "kind": "arxiv",
    "version": 1
  }
}