Pith Number

pith:2GPCLUAM

pith:2023:2GPCLUAMGYAWLZHQRWVTAN4TSD

not attested not anchored not stored refs pending

Passing from plat closure to standard closure of braids in $\mathbb{R}^3$, in handlebodies and in thickened surfaces

Paolo Cavicchioli, Sofia Lambropoulou

arxiv:2308.07291 v2 · 2023-08-14 · 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{2GPCLUAMGYAWLZHQRWVTAN4TSD}

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	2026-07-05T07:25:44.112927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d19e25d00c360165e4f08dab30379390f025f9300b9a008a82e70167ea0e6cc4

Aliases

arxiv: 2308.07291 · arxiv_version: 2308.07291v2 · doi: 10.48550/arxiv.2308.07291 · pith_short_12: 2GPCLUAMGYAW · pith_short_16: 2GPCLUAMGYAWLZHQ · pith_short_8: 2GPCLUAM

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/2GPCLUAMGYAWLZHQRWVTAN4TSD \
  | 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: d19e25d00c360165e4f08dab30379390f025f9300b9a008a82e70167ea0e6cc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7479e6120f639199e079d0fc3d637c4da6d561932b8b16f404af911ca17067e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-08-14T17:27:53Z",
    "title_canon_sha256": "f24bcae7be71bd7e89c9cbe9e7fabddd1acdd3dd68fd5ab007910c78644e59ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.07291",
    "kind": "arxiv",
    "version": 2
  }
}