Pith Number

pith:XI3K33K4

pith:2017:XI3K33K44JTBDIE47BUO6EJAKL

not attested not anchored not stored refs pending

Virtual unknotting numbers of certain virtual torus knots

Hirokazu Yanagi, Masaharu Ishikawa

arxiv:1701.03999 v1 · 2017-01-15 · 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{XI3K33K44JTBDIE47BUO6EJAKL}

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	2026-05-18T00:52:48.156480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba36aded5ce26611a09cf868ef112052d1e7dd5fd4345975ea28cc9464e626fc

Aliases

arxiv: 1701.03999 · arxiv_version: 1701.03999v1 · doi: 10.48550/arxiv.1701.03999 · pith_short_12: XI3K33K44JTB · pith_short_16: XI3K33K44JTBDIE4 · pith_short_8: XI3K33K4

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/XI3K33K44JTBDIE47BUO6EJAKL \
  | 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: ba36aded5ce26611a09cf868ef112052d1e7dd5fd4345975ea28cc9464e626fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e7c6307668fae6cdeeb772eb903f3e2023def3704d2008d5ad4589498d2d013",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-01-15T07:23:46Z",
    "title_canon_sha256": "2154f4be9ace2fa733bb6ba91a6fa63a66c2c10bb8e2cd621f559991e64e6b97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03999",
    "kind": "arxiv",
    "version": 1
  }
}