Pith Number

pith:6HRRPH6J

pith:2019:6HRRPH6J664ZBDMKXFU4T4ZDCL

not attested not anchored not stored refs pending

Homology spheres and property R

Junghwan Park, Min Hoon Kim

arxiv:1906.11234 v2 · 2019-06-26 · 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{6HRRPH6J664ZBDMKXFU4T4ZDCL}

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.

Cited by

1 paper in Pith

Exotic Mazur manifolds and knot trace invariants

Receipt and verification

First computed	2026-07-05T00:13:03.111948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1e3179fc9f7b9908d8ab969c9f32312e84f8f0e3cdc391b9c97720efb051e49

Aliases

arxiv: 1906.11234 · arxiv_version: 1906.11234v2 · doi: 10.48550/arxiv.1906.11234 · pith_short_12: 6HRRPH6J664Z · pith_short_16: 6HRRPH6J664ZBDMK · pith_short_8: 6HRRPH6J

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/6HRRPH6J664ZBDMKXFU4T4ZDCL \
  | 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: f1e3179fc9f7b9908d8ab969c9f32312e84f8f0e3cdc391b9c97720efb051e49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "681b95cff3f9c17783b367b4bbf5d586ed5396871dbf288bf11835134c949f11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-06-26T17:53:52Z",
    "title_canon_sha256": "1195551ba2c4553addc629e5559b2c31cc154270cb119739aa60344549135db9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11234",
    "kind": "arxiv",
    "version": 2
  }
}