Pith Number

pith:DCBLH2BZ

pith:2016:DCBLH2BZWRFCAR6IMCKA4ZJXMH

not attested not anchored not stored refs pending

Unknotting submanifolds of the 3-sphere by twistings

Makoto Ozawa

arxiv:1609.06573 v3 · 2016-09-21 · 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{DCBLH2BZWRFCAR6IMCKA4ZJXMH}

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	2026-05-17T23:54:41.945636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1882b3e839b44a2047c860940e653761d2fa30a7da390f5c7110d9ce0b189264

Aliases

arxiv: 1609.06573 · arxiv_version: 1609.06573v3 · doi: 10.48550/arxiv.1609.06573 · pith_short_12: DCBLH2BZWRFC · pith_short_16: DCBLH2BZWRFCAR6I · pith_short_8: DCBLH2BZ

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/DCBLH2BZWRFCAR6IMCKA4ZJXMH \
  | 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: 1882b3e839b44a2047c860940e653761d2fa30a7da390f5c7110d9ce0b189264

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72b0c0e2076d00720345780f0f0bfbdab011195a2ddd2bb3992a657f486f5717",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-09-21T14:21:16Z",
    "title_canon_sha256": "71c135d707014a72ed3d7f80483a52a03212e188f6919a164356858f293b2271"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06573",
    "kind": "arxiv",
    "version": 3
  }
}