Pith Number

pith:6U3MD6C7

pith:2025:6U3MD6C7H7P2F4ZT2CCU2LOQOG

not attested not anchored not stored refs pending

Self-affine sponges with random contractions

Antti K\"aenm\"aki, Bal\'azs B\'ar\'any, Micha{\l} Rams

arxiv:2505.04383 v2 · 2025-05-07 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6U3MD6C7H7P2F4ZT2CCU2LOQOG}

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	2026-06-04T00:06:50.163761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f536c1f85f3fdfa2f333d0854d2dd07187afa0c5fd8a780dccb452ed138c338d

Aliases

arxiv: 2505.04383 · arxiv_version: 2505.04383v2 · doi: 10.48550/arxiv.2505.04383 · pith_short_12: 6U3MD6C7H7P2 · pith_short_16: 6U3MD6C7H7P2F4ZT · pith_short_8: 6U3MD6C7

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/6U3MD6C7H7P2F4ZT2CCU2LOQOG \
  | 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: f536c1f85f3fdfa2f333d0854d2dd07187afa0c5fd8a780dccb452ed138c338d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6badbed114b1ac64ffb88247774e06f1321bd0be017f8999ed4b868da08ac2b4",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-05-07T13:04:37Z",
    "title_canon_sha256": "aa8569e383b494d40d8b3532998e636d7e394ecab5d59ba091a577bdfc8c5913"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.04383",
    "kind": "arxiv",
    "version": 2
  }
}