Pith Number

pith:5GVLEWPL

pith:2018:5GVLEWPL2CWAGW7HXPT57F2IO2

not attested not anchored not stored refs pending

An alternative basis for the Kauffman bracket skein module of the Solid Torus via braids

Ioannis Diamantis

arxiv:1809.08424 v1 · 2018-09-22 · 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{5GVLEWPL2CWAGW7HXPT57F2IO2}

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	2026-05-18T00:05:08.522258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9aab259ebd0ac035be7bbe7df974876b90987ba7bec4c70dfa4a6042b2af8cd

Aliases

arxiv: 1809.08424 · arxiv_version: 1809.08424v1 · doi: 10.48550/arxiv.1809.08424 · pith_short_12: 5GVLEWPL2CWA · pith_short_16: 5GVLEWPL2CWAGW7H · pith_short_8: 5GVLEWPL

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/5GVLEWPL2CWAGW7HXPT57F2IO2 \
  | 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: e9aab259ebd0ac035be7bbe7df974876b90987ba7bec4c70dfa4a6042b2af8cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "553ee455f1d79603ddf4a83b387cb9c1df73b6f2dd798616d4488994c943821c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-09-22T10:26:51Z",
    "title_canon_sha256": "8f485eb2960d504e46e7fe7a15b8bc8a09f1156fdf88dd3df1a2f564bd338d89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08424",
    "kind": "arxiv",
    "version": 1
  }
}