Pith Number

pith:YPD37CD7

pith:2015:YPD37CD7ZJGSSJEYPFRJLPXQDV

not attested not anchored not stored refs pending

High-dimensional representations of the 3-component loop braid group

Lieven Le Bruyn

arxiv:1508.00871 v2 · 2015-08-04 · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPD37CD7ZJGSSJEYPFRJLPXQDV}

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	2026-05-18T01:22:14.367367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3c7bf887fca4d292498796295bef01d74cb66084d6e380b2efcffab480b8f50

Aliases

arxiv: 1508.00871 · arxiv_version: 1508.00871v2 · doi: 10.48550/arxiv.1508.00871 · pith_short_12: YPD37CD7ZJGS · pith_short_16: YPD37CD7ZJGSSJEY · pith_short_8: YPD37CD7

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/YPD37CD7ZJGSSJEYPFRJLPXQDV \
  | 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: c3c7bf887fca4d292498796295bef01d74cb66084d6e380b2efcffab480b8f50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a9e090f5b30fee5058593aa539af3497350ee351697599291b7cacb348649ed",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-08-04T18:56:03Z",
    "title_canon_sha256": "f20db5276ae1a909e8d86e02c4fc618543f2fdbb44a4e4ee59fbdefdfd3d36e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00871",
    "kind": "arxiv",
    "version": 2
  }
}