Pith Number

pith:6EW2SVIC

pith:2016:6EW2SVICCRWLS6N3J3XMXTI22A

not attested not anchored not stored refs pending

Profinite rigidity of graph manifolds and JSJ decompositions of 3-manifolds

Gareth Wilkes

arxiv:1605.08244 v2 · 2016-05-26 · 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{6EW2SVICCRWLS6N3J3XMXTI22A}

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	2026-05-18T00:48:42.734168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f12da95502146cb979bb4eeecbcd1ad0023a8dfb9ba8100589f4ca474c1ec6d8

Aliases

arxiv: 1605.08244 · arxiv_version: 1605.08244v2 · doi: 10.48550/arxiv.1605.08244 · pith_short_12: 6EW2SVICCRWL · pith_short_16: 6EW2SVICCRWLS6N3 · pith_short_8: 6EW2SVIC

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/6EW2SVICCRWLS6N3J3XMXTI22A \
  | 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: f12da95502146cb979bb4eeecbcd1ad0023a8dfb9ba8100589f4ca474c1ec6d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee0ef3f8091801fc00c13c34fb2d21f5bfd1966b733ff031d823f2f17cee3b3c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-05-26T12:03:17Z",
    "title_canon_sha256": "6174c6441fe915319fbd5e1c8e14610e252b2dbb4257de5c4b1c8cc51819a76a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08244",
    "kind": "arxiv",
    "version": 2
  }
}