Pith Number

pith:ATMT7457

pith:2016:ATMT74575R2SFKSLKE62H4N3TD

not attested not anchored not stored refs pending

Pro-$p$ subgroups of profinite completions of 3-manifold groups

Henry Wilton, Pavel Zalesskii

arxiv:1612.00198 v2 · 2016-12-01 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATMT74575R2SFKSLKE62H4N3TD}

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	2026-05-18T00:38:30.745076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04d93ff3bfec7522aa4b513da3f1bb98d6914789838bba6fa15af40ac16650f5

Aliases

arxiv: 1612.00198 · arxiv_version: 1612.00198v2 · doi: 10.48550/arxiv.1612.00198 · pith_short_12: ATMT74575R2S · pith_short_16: ATMT74575R2SFKSL · pith_short_8: ATMT7457

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/ATMT74575R2SFKSLKE62H4N3TD \
  | 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: 04d93ff3bfec7522aa4b513da3f1bb98d6914789838bba6fa15af40ac16650f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8375833463730db59060422b6b6fc8496ad3c0cea4bd643f331cfc2af01b7b0",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-12-01T10:59:41Z",
    "title_canon_sha256": "d09a0c1114c85562406b1d3e6b778af75bd92d8b2501197ae4c904cc157c7109"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00198",
    "kind": "arxiv",
    "version": 2
  }
}