Pith Number

pith:BFQLOAB2

pith:2012:BFQLOAB2T7KUA4S5SKF224IX6G

not attested not anchored not stored refs pending

Classification and rigidity of totally periodic pseudo-Anosov flows in graph manifolds

Sergio R. Fenley, Thierry Barbot

arxiv:1211.7327 v1 · 2012-11-30 · math.GT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BFQLOAB2T7KUA4S5SKF224IX6G}

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	2026-05-18T02:48:10.141834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0960b7003a9fd540725d928bad7117f19fd34fbfef297f65b5c69fe535af9183

Aliases

arxiv: 1211.7327 · arxiv_version: 1211.7327v1 · doi: 10.48550/arxiv.1211.7327 · pith_short_12: BFQLOAB2T7KU · pith_short_16: BFQLOAB2T7KUA4S5 · pith_short_8: BFQLOAB2

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/BFQLOAB2T7KUA4S5SKF224IX6G \
  | 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: 0960b7003a9fd540725d928bad7117f19fd34fbfef297f65b5c69fe535af9183

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b212c65aa2d246a0d52a09e0f3f836cbe6a7b2862f71c9d73c3d71ec1d2ccf6",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-11-30T18:00:12Z",
    "title_canon_sha256": "78d443c2f56d79d089470558121cd5d406e0db4677a37efe65ece5afd90f20cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7327",
    "kind": "arxiv",
    "version": 1
  }
}