Pith Number

pith:VMBSYLDK

pith:2004:VMBSYLDKE7TMXYE3OZYB5OSS43

not attested not anchored not stored refs pending

Topological mixing for substitutions on two letters

Boris Solomyak, Lorenzo Sadun, Richard Kenyon

arxiv:math/0406503 v2 · 2004-06-24 · 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{VMBSYLDKE7TMXYE3OZYB5OSS43}

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	2026-05-18T04:17:15.805990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab032c2c6a27e6cbe09b76701eba52e6f368309a11a6b9eee66ee22a64927e56

Aliases

arxiv: math/0406503 · arxiv_version: math/0406503v2 · doi: 10.48550/arxiv.math/0406503 · pith_short_12: VMBSYLDKE7TM · pith_short_16: VMBSYLDKE7TMXYE3 · pith_short_8: VMBSYLDK

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/VMBSYLDKE7TMXYE3OZYB5OSS43 \
  | 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: ab032c2c6a27e6cbe09b76701eba52e6f368309a11a6b9eee66ee22a64927e56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3f56fd74c0c98cc89eb99a13245d891f3aa80f23244311cd590e50995b3d28c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2004-06-24T18:52:27Z",
    "title_canon_sha256": "5406d3e2473ef337c68aee7a92789de9feb35ffd96f182cfe9e88e7b76548229"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406503",
    "kind": "arxiv",
    "version": 2
  }
}