Pith Number

pith:2UBKBH2K

pith:2018:2UBKBH2KMGE5CRZDCDCE3GB4MT

not attested not anchored not stored refs pending

Generalized torsion and decomposition of 3-manifolds

Kimihiko Motegi, Masakazu Teragaito, Tetsuya Ito

arxiv:1811.07532 v1 · 2018-11-19 · 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{2UBKBH2KMGE5CRZDCDCE3GB4MT}

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	2026-05-18T00:00:24.182649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d502a09f4a6189d1472310c44d983c64c8a6c28169d53831b098cace8144b164

Aliases

arxiv: 1811.07532 · arxiv_version: 1811.07532v1 · doi: 10.48550/arxiv.1811.07532 · pith_short_12: 2UBKBH2KMGE5 · pith_short_16: 2UBKBH2KMGE5CRZD · pith_short_8: 2UBKBH2K

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/2UBKBH2KMGE5CRZDCDCE3GB4MT \
  | 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: d502a09f4a6189d1472310c44d983c64c8a6c28169d53831b098cace8144b164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30af121945fe2d62f572be1d14f5296b3ce3dada18932bc8dcee04dfd0ac6381",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-11-19T07:30:09Z",
    "title_canon_sha256": "45a2a298168c32c41bee0756c165ec600d370f3022f286ca8ed652e3f2228b1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.07532",
    "kind": "arxiv",
    "version": 1
  }
}