Pith Number

pith:NWT6C2XL

pith:2003:NWT6C2XLPHBNGX4WOD3NVCVYUK

not attested not anchored not stored refs pending

Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups

Bert Wiest, John Crisp

arxiv:math/0303217 v2 · 2003-03-18 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NWT6C2XLPHBNGX4WOD3NVCVYUK}

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	2026-05-18T02:41:32.709549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6da7e16aeb79c2d35f9670f6da8ab8a29a547afad66202e81fd5b9e7c4cc7bc5

Aliases

arxiv: math/0303217 · arxiv_version: math/0303217v2 · doi: 10.48550/arxiv.math/0303217 · pith_short_12: NWT6C2XLPHBN · pith_short_16: NWT6C2XLPHBNGX4W · pith_short_8: NWT6C2XL

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/NWT6C2XLPHBNGX4WOD3NVCVYUK \
  | 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: 6da7e16aeb79c2d35f9670f6da8ab8a29a547afad66202e81fd5b9e7c4cc7bc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11f77717ccdf7305445ddc65dd1ac072dd21d2ecaa239d70ec491afe96e0c7ae",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2003-03-18T11:36:39Z",
    "title_canon_sha256": "58558472dc82e5924d9ea9926daa5ef0014a086df9d4c77d7ec2c7a6541f93f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0303217",
    "kind": "arxiv",
    "version": 2
  }
}