Pith Number

pith:GH473E3P

pith:2008:GH473E3PW5NCKCH6GEWRFPNVJE

not attested not anchored not stored refs pending

A note on Artin-Markov normal form theorem for braid groups

Qiuhui Mo, Yuqun Chen

arxiv:0806.0877 v1 · 2008-06-05 · 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{GH473E3PW5NCKCH6GEWRFPNVJE}

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	2026-05-18T04:41:36.002511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31f9fd936fb75a2508fe312d12bdb5493a26b7366574729c32b2bef94d3ffb10

Aliases

arxiv: 0806.0877 · arxiv_version: 0806.0877v1 · doi: 10.48550/arxiv.0806.0877 · pith_short_12: GH473E3PW5NC · pith_short_16: GH473E3PW5NCKCH6 · pith_short_8: GH473E3P

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/GH473E3PW5NCKCH6GEWRFPNVJE \
  | 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: 31f9fd936fb75a2508fe312d12bdb5493a26b7366574729c32b2bef94d3ffb10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "664824b6e21141f048e3a1ae36010ae0b263f5933f70a9af82003406ae9e4a8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-06-05T00:09:27Z",
    "title_canon_sha256": "abe0cef2361022a942c5c9b610e2c3721a3edf6256aa83ed39b2c578bc34dd0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.0877",
    "kind": "arxiv",
    "version": 1
  }
}