Pith Number

pith:YG5IDGWU

pith:2024:YG5IDGWUVOIG7EEYRKINCWT55U

not attested not anchored not stored refs pending

Simply transitive geodesics and omnipotence of lattices in PSL$(2,\mathbb{C})$

Ian Agol, Tam Cheetham-West, Yair Minsky

arxiv:2409.08418 v1 · 2024-09-12 · math.GT · 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{YG5IDGWUVOIG7EEYRKINCWT55U}

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	2026-07-05T09:06:30.900305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1ba819ad4ab906f90988a90d15a7ded359141ba54c858fbadaaa487e5f42a76

Aliases

arxiv: 2409.08418 · arxiv_version: 2409.08418v1 · doi: 10.48550/arxiv.2409.08418 · pith_short_12: YG5IDGWUVOIG · pith_short_16: YG5IDGWUVOIG7EEY · pith_short_8: YG5IDGWU

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/YG5IDGWUVOIG7EEYRKINCWT55U \
  | 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: c1ba819ad4ab906f90988a90d15a7ded359141ba54c858fbadaaa487e5f42a76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6a614b4ea1e1fe5d09e991744e3aa824977246a9a81ba5ee17e108d936881a2",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-09-12T22:41:32Z",
    "title_canon_sha256": "164641ea898579e7b2129eb026d898d568568eebd7ed7bf0d7c17e98210c086e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.08418",
    "kind": "arxiv",
    "version": 1
  }
}