Pith Number

pith:BZYSHXJX

pith:2026:BZYSHXJXKBO3IS43WMIWDO5OY5

not attested not anchored not stored refs pending

Conjugacy Distinguished Cosets in Hyperbolic $3$-Manifold Groups

David Futer, Emily Hamilton, Neil R Hoffman

arxiv:2606.25289 v1 · 2026-06-24 · 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{BZYSHXJXKBO3IS43WMIWDO5OY5}

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	2026-06-25T01:18:01.060192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e7123dd37505db44b9bb31161bbaec75e6b22bcd31f697e5a5f9bcd12d0c8f6

Aliases

arxiv: 2606.25289 · arxiv_version: 2606.25289v1 · doi: 10.48550/arxiv.2606.25289 · pith_short_12: BZYSHXJXKBO3 · pith_short_16: BZYSHXJXKBO3IS43 · pith_short_8: BZYSHXJX

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/BZYSHXJXKBO3IS43WMIWDO5OY5 \
  | 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: 0e7123dd37505db44b9bb31161bbaec75e6b22bcd31f697e5a5f9bcd12d0c8f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdc6e837f9381070cf9e0cc3f11f57ada720411a3691df99bd98cceee27d620a",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-06-24T01:48:17Z",
    "title_canon_sha256": "d3f86550160126ef4301cd03ab14bc559728e516ea677f76a4f759f6a6db7450"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25289",
    "kind": "arxiv",
    "version": 1
  }
}