Pith Number

pith:6WKSLU35

pith:2014:6WKSLU35JPS7JVDQ7BO3QFAP7J

not attested not anchored not stored refs pending

Graphical Constructions for the sl(3), so(3) and G2 Invariants for Virtual Knots, Virtual Braids and Free Knots

Louis Hirsch Kauffman, Vassily Olegovich Manturov

arxiv:1406.7331 v2 · 2014-06-27 · 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{6WKSLU35JPS7JVDQ7BO3QFAP7J}

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	2026-05-18T02:48:00.400678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f59525d37d4be5f4d470f85db8140ffa600c52cbe927f31e43691777741b0805

Aliases

arxiv: 1406.7331 · arxiv_version: 1406.7331v2 · doi: 10.48550/arxiv.1406.7331 · pith_short_12: 6WKSLU35JPS7 · pith_short_16: 6WKSLU35JPS7JVDQ · pith_short_8: 6WKSLU35

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/6WKSLU35JPS7JVDQ7BO3QFAP7J \
  | 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: f59525d37d4be5f4d470f85db8140ffa600c52cbe927f31e43691777741b0805

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "038c12d3f9be909ddddd8b56f9b187810baad497d736774f45d764424935c2a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-06-27T22:36:56Z",
    "title_canon_sha256": "dfb6a149afa6a13222d0974821f4861a60e19a7e5a9e612a7712805cecb63ed1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7331",
    "kind": "arxiv",
    "version": 2
  }
}