Pith Number

pith:6TES6JR4

pith:2011:6TES6JR4HHNF7DDS43SMY6BZFK

not attested not anchored not stored refs pending

Separability of double cosets and conjugacy classes in 3-manifold groups

Emily Hamilton, Henry Wilton, Pavel Zalesskii

arxiv:1109.2765 v2 · 2011-09-13 · math.GR · math.GT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6TES6JR4HHNF7DDS43SMY6BZFK}

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	2026-05-18T02:58:00.488810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4c92f263c39da5f8c72e6e4cc78392a9a3bd18545aa7c96ab9f03568d3c15c9

Aliases

arxiv: 1109.2765 · arxiv_version: 1109.2765v2 · doi: 10.48550/arxiv.1109.2765 · pith_short_12: 6TES6JR4HHNF · pith_short_16: 6TES6JR4HHNF7DDS · pith_short_8: 6TES6JR4

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/6TES6JR4HHNF7DDS43SMY6BZFK \
  | 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: f4c92f263c39da5f8c72e6e4cc78392a9a3bd18545aa7c96ab9f03568d3c15c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ace6bc6888f107280b2c4813fd97e749dbc15b4daea2cbf6e2db741f96177a1d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-09-13T12:54:39Z",
    "title_canon_sha256": "6127b91bea63efbd4b4007b23120ac8374ff1ac03acbf6c30e9d4d3ef7770ca8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2765",
    "kind": "arxiv",
    "version": 2
  }
}