Pith Number

pith:E5PTV3H6

pith:2013:E5PTV3H6ZK6VA72VFGEQNWV6U6

not attested not anchored not stored refs pending

Classification of partially hyperbolic diffeomorphisms in 3-manifolds with solvable fundamental group

Andy Hammerlindl, Rafael Potrie

arxiv:1307.4631 v2 · 2013-07-17 · math.DS · 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{E5PTV3H6ZK6VA72VFGEQNWV6U6}

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	2026-05-18T01:53:09.784520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

275f3aecfecabd507f55298906dabea7964f5bd7a909db4b384622e14029d47b

Aliases

arxiv: 1307.4631 · arxiv_version: 1307.4631v2 · doi: 10.48550/arxiv.1307.4631 · pith_short_12: E5PTV3H6ZK6V · pith_short_16: E5PTV3H6ZK6VA72V · pith_short_8: E5PTV3H6

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/E5PTV3H6ZK6VA72VFGEQNWV6U6 \
  | 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: 275f3aecfecabd507f55298906dabea7964f5bd7a909db4b384622e14029d47b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1b165f73f1329853d13464c4bef343a3c44f2229da18744b9bd5c45f83a99d4",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-07-17T13:48:35Z",
    "title_canon_sha256": "159a2b1f4ec3367920bb15bd2bc7063a2191f6a752a7510e48407d5a4520cc2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4631",
    "kind": "arxiv",
    "version": 2
  }
}