pith. sign in
Pith Number

pith:TATZY7XD

pith:2024:TATZY7XDERO7DYVUST4L3ICNR5
not attested not anchored not stored refs pending

Virtualized Delta, sharp, and pass moves for oriented virtual knots and links

Kodai Wada, Shin Satoh, Takuji Nakamura, Yasutaka Nakanishi

arxiv:2401.13195 v1 · 2024-01-24 · math.GT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TATZY7XDERO7DYVUST4L3ICNR5}

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 2026-07-05T07:37:01.993766Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

98279c7ee3245df1e2b494f8bda04d8f6b67141ac51e18eb0638cfb95cd71248

Aliases

arxiv: 2401.13195 · arxiv_version: 2401.13195v1 · doi: 10.48550/arxiv.2401.13195 · pith_short_12: TATZY7XDERO7 · pith_short_16: TATZY7XDERO7DYVU · pith_short_8: TATZY7XD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TATZY7XDERO7DYVUST4L3ICNR5 \
  | 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: 98279c7ee3245df1e2b494f8bda04d8f6b67141ac51e18eb0638cfb95cd71248
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d92ae98d7eb901e4838b5e03b9c52faabd0377ed7df288d05084da875743dfbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-01-24T02:49:36Z",
    "title_canon_sha256": "d0077b4d0402dd0c621d69c3d503ffd980f6bd6112fd9e619b52bc5bb524b9d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.13195",
    "kind": "arxiv",
    "version": 1
  }
}