Pith Number

pith:274WAEO7

pith:2021:274WAEO7YGW7N23BO24R2FY7DD

not attested not anchored not stored refs pending

Kerler-Lyubashenko Functors on 4-Dimensional 2-Handlebodies

Anna Beliakova, Marco De Renzi

arxiv:2105.02789 v3 · 2021-05-06 · 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{274WAEO7YGW7N23BO24R2FY7DD}

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.

Cited by

1 paper in Pith

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories

Receipt and verification

First computed	2026-07-05T05:48:24.662600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7f96011dfc1adf6eb6176b91d171f18e433a4ec294ea0aeb8f430f91c575590

Aliases

arxiv: 2105.02789 · arxiv_version: 2105.02789v3 · doi: 10.48550/arxiv.2105.02789 · pith_short_12: 274WAEO7YGW7 · pith_short_16: 274WAEO7YGW7N23B · pith_short_8: 274WAEO7

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/274WAEO7YGW7N23BO24R2FY7DD \
  | 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: d7f96011dfc1adf6eb6176b91d171f18e433a4ec294ea0aeb8f430f91c575590

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40a4756da65aa42f4b551f0b90c3c96dc5eebeafe2dc0cef2b048d1816adaf5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-05-06T16:22:46Z",
    "title_canon_sha256": "eb0b24781bb544ece2d772ed8916e94bb0bbbed46c3dff41ca6c89564e43bec8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.02789",
    "kind": "arxiv",
    "version": 3
  }
}