Pith Number

pith:2HFHU7VU

pith:2012:2HFHU7VUHCDB6K2TMZKOBQI6LG

not attested not anchored not stored refs pending

Pseudo-Anosov subgroups of fibered 3-manifold groups

Christopher J. Leininger, Richard P. Kent IV, Spencer Dowdall

arxiv:1208.2495 v2 · 2012-08-13 · 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{2HFHU7VUHCDB6K2TMZKOBQI6LG}

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	2026-05-18T03:28:19.616716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1ca7a7eb438861f2b536654e0c11e59a56bfda816a1651944aae41bf1a42759

Aliases

arxiv: 1208.2495 · arxiv_version: 1208.2495v2 · doi: 10.48550/arxiv.1208.2495 · pith_short_12: 2HFHU7VUHCDB · pith_short_16: 2HFHU7VUHCDB6K2T · pith_short_8: 2HFHU7VU

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/2HFHU7VUHCDB6K2TMZKOBQI6LG \
  | 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: d1ca7a7eb438861f2b536654e0c11e59a56bfda816a1651944aae41bf1a42759

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c9ca44cdcec17e008bdee575b428293577c4767e6deb176ba1528b1fcb80c89",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-08-13T05:11:15Z",
    "title_canon_sha256": "fdc1e6345ebf77b66ba0e4ae6539a1e21bbaca82aecbb2006d7ae40ea1dfb570"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2495",
    "kind": "arxiv",
    "version": 2
  }
}