Pith Number

pith:NH7WTCM5

pith:2004:NH7WTCM52K6DQPZYTT4QLVSI3R

not attested not anchored not stored refs pending

The Algebra of Strand Splitting. II. A Presentation for the Braid Group on One Strand

Matthew G. Brin

arxiv:math/0406043 v1 · 2004-06-02 · 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{NH7WTCM52K6DQPZYTT4QLVSI3R}

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	2026-05-18T03:16:30.517785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69ff69899dd2bc383f389cf905d648dc47629b83fbbec74299b915c8cdc56a34

Aliases

arxiv: math/0406043 · arxiv_version: math/0406043v1 · doi: 10.48550/arxiv.math/0406043 · pith_short_12: NH7WTCM52K6D · pith_short_16: NH7WTCM52K6DQPZY · pith_short_8: NH7WTCM5

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/NH7WTCM52K6DQPZYTT4QLVSI3R \
  | 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: 69ff69899dd2bc383f389cf905d648dc47629b83fbbec74299b915c8cdc56a34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2d5b697016d83f1efe84c59f0c66438a30bb7e54d25fba97460cf5e4eb68ed7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2004-06-02T18:33:02Z",
    "title_canon_sha256": "365ac972dc23ed12b2d065e1dc95be00cff275a5511626d1cb860120aee1de28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406043",
    "kind": "arxiv",
    "version": 1
  }
}