Pith Number

pith:H4BRIWLU

pith:2012:H4BRIWLULT7MG7Y5JJ4Z5LKSEF

not attested not anchored not stored refs pending

Kaehler groups, quasi-projective groups, and 3-manifold groups

Alexander Suciu, Stefan Friedl

arxiv:1212.3022 v2 · 2012-12-13 · math.GT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H4BRIWLULT7MG7Y5JJ4Z5LKSEF}

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	2026-05-18T02:58:22.086106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f031459745cfec37f1d4a799ead52216a21bc075e5b4776dddcb8f6382eb468

Aliases

arxiv: 1212.3022 · arxiv_version: 1212.3022v2 · doi: 10.48550/arxiv.1212.3022 · pith_short_12: H4BRIWLULT7M · pith_short_16: H4BRIWLULT7MG7Y5 · pith_short_8: H4BRIWLU

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/H4BRIWLULT7MG7Y5JJ4Z5LKSEF \
  | 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: 3f031459745cfec37f1d4a799ead52216a21bc075e5b4776dddcb8f6382eb468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2edc793bd54bedfc8b4cb973c15ed4ef7401ced9bc407d6c6d934964eab6d7cc",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-12-13T00:23:49Z",
    "title_canon_sha256": "8bad74050338fd6a2c89725222ce7ce701891f5bb41f6f919cdcefea83eefb71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3022",
    "kind": "arxiv",
    "version": 2
  }
}