Pith Number

pith:6SMRUK5V

pith:2025:6SMRUK5V53EBQDLU3IQW3WTBHR

not attested not anchored not stored refs pending

Examples of non-amenable, boundary-amenable dynamical systems

Jacopo Bassi

arxiv:2507.19614 v1 · 2025-07-25 · math.OA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6SMRUK5V53EBQDLU3IQW3WTBHR}

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	2026-07-05T11:43:37.595395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4991a2bb5eec8180d74da216dda613c7714a04099398a3df8bb33c02a5ffc76

Aliases

arxiv: 2507.19614 · arxiv_version: 2507.19614v1 · doi: 10.48550/arxiv.2507.19614 · pith_short_12: 6SMRUK5V53EB · pith_short_16: 6SMRUK5V53EBQDLU · pith_short_8: 6SMRUK5V

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/6SMRUK5V53EBQDLU3IQW3WTBHR \
  | 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: f4991a2bb5eec8180d74da216dda613c7714a04099398a3df8bb33c02a5ffc76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "124f06d0960b37c7f22416a9f0feaa1c5ac01e132fbfb7c6bf907529571cd3f5",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-07-25T18:30:12Z",
    "title_canon_sha256": "0374a307de0a3ac0bc6ef6e253612c6719d26bae75411e092de9d17ac641787a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.19614",
    "kind": "arxiv",
    "version": 1
  }
}