Pith Number

pith:YGN7HZLU

pith:2024:YGN7HZLU7C6TH3NOGI3T7S5XBR

not attested not anchored not stored refs pending

Topological groups with tractable minimal dynamics

Andy Zucker, Gianluca Basso

arxiv:2412.05659 v2 · 2024-12-07 · math.DS · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YGN7HZLU7C6TH3NOGI3T7S5XBR}

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	2026-07-05T12:07:56.914878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c19bf3e574f8bd33edae32373fcbb70c40c23234849f1ffda3983ce2c2809414

Aliases

arxiv: 2412.05659 · arxiv_version: 2412.05659v2 · doi: 10.48550/arxiv.2412.05659 · pith_short_12: YGN7HZLU7C6T · pith_short_16: YGN7HZLU7C6TH3NO · pith_short_8: YGN7HZLU

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/YGN7HZLU7C6TH3NOGI3T7S5XBR \
  | 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: c19bf3e574f8bd33edae32373fcbb70c40c23234849f1ffda3983ce2c2809414

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cabdf97428b18acb547f427e1c7924125d1b4feb2db6db1b533626ca3c51f6c",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-12-07T14:09:32Z",
    "title_canon_sha256": "b0c9806dc2df53488c17e986c92fb4f434e2a6d3adfe571aa2a7e95ac8ea10fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.05659",
    "kind": "arxiv",
    "version": 2
  }
}