Pith Number

pith:QWYEHERS

pith:2025:QWYEHERSJS3OHOLMZOXOLBCGW6

not attested not anchored not stored refs pending

Liftable braids and the coloured braid groupoid

Joan Licata, Vera V\'ertesi

arxiv:2508.05146 v1 · 2025-08-07 · math.GT · math.CO · math.GR · 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{QWYEHERSJS3OHOLMZOXOLBCGW6}

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

Invariants of the Colored Braid Groupoid

Receipt and verification

First computed	2026-07-05T11:50:07.797917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85b04392324cb6e3b96ccbaee58446b78da7071da86b89b653b268105716d310

Aliases

arxiv: 2508.05146 · arxiv_version: 2508.05146v1 · doi: 10.48550/arxiv.2508.05146 · pith_short_12: QWYEHERSJS3O · pith_short_16: QWYEHERSJS3OHOLM · pith_short_8: QWYEHERS

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/QWYEHERSJS3OHOLMZOXOLBCGW6 \
  | 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: 85b04392324cb6e3b96ccbaee58446b78da7071da86b89b653b268105716d310

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70570f5c80e16bc100d5de3143f6a4984fafcda8817d66df1b4a4d6a158a6c25",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-08-07T08:31:18Z",
    "title_canon_sha256": "8f68ec58bea2aa8ec8aa0dc3d6759f17abf0000d8b6d6081c0001d41a52f08a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.05146",
    "kind": "arxiv",
    "version": 1
  }
}