Pith Number

pith:LU6DR7WW

pith:2011:LU6DR7WWKKU636GKRQCLBUR2LM

not attested not anchored not stored refs pending

Twisted virtual biracks and their twisted virtual link invariants

Jessica Ceniceros, Sam Nelson

arxiv:1105.5663 v2 · 2011-05-27 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LU6DR7WWKKU636GKRQCLBUR2LM}

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	2026-05-18T03:39:41.992396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d3c38fed652a9edf8ca8c04b0d23a5b2ad895f4838166da6a73b3d4f959fd2a

Aliases

arxiv: 1105.5663 · arxiv_version: 1105.5663v2 · doi: 10.48550/arxiv.1105.5663 · pith_short_12: LU6DR7WWKKU6 · pith_short_16: LU6DR7WWKKU636GK · pith_short_8: LU6DR7WW

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/LU6DR7WWKKU636GKRQCLBUR2LM \
  | 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: 5d3c38fed652a9edf8ca8c04b0d23a5b2ad895f4838166da6a73b3d4f959fd2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9afc2160b9a0aa28bafde6374d897a17691ed8c932e8e529aaec5e41e4590c90",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-05-27T22:04:12Z",
    "title_canon_sha256": "c6e42d8e8766b4b8fe6deb256a9b0cd6d97d62cc1845e505516bcb7b40bad2bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5663",
    "kind": "arxiv",
    "version": 2
  }
}