Pith Number

pith:VT77SGTW

pith:2011:VT77SGTWCPEKCJXNK3RKTFD4BI

not attested not anchored not stored refs pending

Reduced Relative Tutte, Kauffman Bracket and Jones Polynomials of Virtual Link Families

Ljiljana Radovic, Louis H. Kauffman, Radmila Sazdanovic, Slavik V. Jablan

arxiv:1106.2785 v5 · 2011-06-14 · 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{VT77SGTWCPEKCJXNK3RKTFD4BI}

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	2026-05-18T03:34:25.685672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acfff91a7613c8a126ed56e2a9947c0a18d2bdf9a0a85ee9d449dc1a918e6a85

Aliases

arxiv: 1106.2785 · arxiv_version: 1106.2785v5 · doi: 10.48550/arxiv.1106.2785 · pith_short_12: VT77SGTWCPEK · pith_short_16: VT77SGTWCPEKCJXN · pith_short_8: VT77SGTW

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/VT77SGTWCPEKCJXNK3RKTFD4BI \
  | 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: acfff91a7613c8a126ed56e2a9947c0a18d2bdf9a0a85ee9d449dc1a918e6a85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58dd44704ee80d4476da8b5d26350a825ca49506f1e53ca692d8e1d40e63cb3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-06-14T18:47:31Z",
    "title_canon_sha256": "2dd4a1224f661d2f8faa6d7f5d61f0fca825e180546951e818b2f8c24d00408b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2785",
    "kind": "arxiv",
    "version": 5
  }
}