Pith Number

pith:T6M7ZHXX

pith:2001:T6M7ZHXXO4FZL7KXOPD4SHH5KS

not attested not anchored not stored refs pending

On non-measurable sets and invariant tori

Krzysztof W. Wojciechowski, Piotr Pieranski

arxiv:physics/0103058 v1 · 2001-03-20 · physics.class-ph · physics.gen-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T6M7ZHXXO4FZL7KXOPD4SHH5KS}

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	2026-05-18T01:38:11.236721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f99fc9ef7770b95fd5773c7c91cfd548bd4c38834a5d2d6bddfea4df7c61fbd

Aliases

arxiv: physics/0103058 · arxiv_version: physics/0103058v1 · doi: 10.48550/arxiv.physics/0103058 · pith_short_12: T6M7ZHXXO4FZ · pith_short_16: T6M7ZHXXO4FZL7KX · pith_short_8: T6M7ZHXX

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/T6M7ZHXXO4FZL7KXOPD4SHH5KS \
  | 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: 9f99fc9ef7770b95fd5773c7c91cfd548bd4c38834a5d2d6bddfea4df7c61fbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e453665f0a9473dcb137595e4a185528e368678790ec85acc3dc9d09afca72e",
    "cross_cats_sorted": [
      "physics.gen-ph"
    ],
    "license": "",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2001-03-20T13:12:39Z",
    "title_canon_sha256": "331bd96a59d2c340e67a5050b5d4f1a11fbd55a0514fe203e218b61600ec0e06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0103058",
    "kind": "arxiv",
    "version": 1
  }
}