Pith Number

pith:WFRUACFK

pith:2016:WFRUACFKI4QKYE2MYQLDAUJM4R

not attested not anchored not stored refs pending

Knots and links of complex tangents

Masamichi Takase, Naohiko Kasuya

arxiv:1606.03704 v2 · 2016-06-12 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFRUACFKI4QKYE2MYQLDAUJM4R}

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	2026-05-18T00:20:32.520784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1634008aa4720ac134cc41630512ce451c518b45f2f198c60b874671ee22b10

Aliases

arxiv: 1606.03704 · arxiv_version: 1606.03704v2 · doi: 10.48550/arxiv.1606.03704 · pith_short_12: WFRUACFKI4QK · pith_short_16: WFRUACFKI4QKYE2M · pith_short_8: WFRUACFK

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/WFRUACFKI4QKYE2MYQLDAUJM4R \
  | 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: b1634008aa4720ac134cc41630512ce451c518b45f2f198c60b874671ee22b10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aee57f1427b5f5c044e6e2d3145c54fdc25665f9427c14ad622271c30190760",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-06-12T12:58:06Z",
    "title_canon_sha256": "9b207287893bfe988618965a41f5c64f4eb84b62a56e9d0795635e299f148dab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03704",
    "kind": "arxiv",
    "version": 2
  }
}