Pith Number

pith:72SEF644

pith:2014:72SEF644CZ4F6NHNPO2I33TNZY

not attested not anchored not stored refs pending

The Triple Point Spectrum of closed orientable 3-manifolds

\'Alvaro Lozano Rojo, Rub\'en Vigara Benito

arxiv:1412.1637 v1 · 2014-12-04 · 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{72SEF644CZ4F6NHNPO2I33TNZY}

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	2026-05-18T02:32:06.806764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fea442fb9c16785f34ed7bb48dee6dce2c68f4faa1b042d5607214d6a4918e50

Aliases

arxiv: 1412.1637 · arxiv_version: 1412.1637v1 · doi: 10.48550/arxiv.1412.1637 · pith_short_12: 72SEF644CZ4F · pith_short_16: 72SEF644CZ4F6NHN · pith_short_8: 72SEF644

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/72SEF644CZ4F6NHNPO2I33TNZY \
  | 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: fea442fb9c16785f34ed7bb48dee6dce2c68f4faa1b042d5607214d6a4918e50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b67966c6f3fe4bf54b8775fc63ca9c1af761b5572da7364e79ff919fa65dfcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-12-04T11:57:03Z",
    "title_canon_sha256": "58c90d5eeae9e20016a87788072bd0f5a5ae101021bf331bb33d0fb1a6bdd925"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1637",
    "kind": "arxiv",
    "version": 1
  }
}