Pith Number

pith:YD5XR7WW

pith:2007:YD5XR7WWTSB3WP3LXUZFWTFUTI

not attested not anchored not stored refs pending

Actions of the braid group, and new algebraic proofs of results of Dehornoy and Larue

Llu\'is Bacardit, Warren Dicks

arxiv:0705.0587 v1 · 2007-05-04 · 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{YD5XR7WWTSB3WP3LXUZFWTFUTI}

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	2026-05-18T01:09:24.773282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0fb78fed69c83bb3f6bbd325b4cb49a101564bf2a00b5d13814c6df82b24217

Aliases

arxiv: 0705.0587 · arxiv_version: 0705.0587v1 · doi: 10.48550/arxiv.0705.0587 · pith_short_12: YD5XR7WWTSB3 · pith_short_16: YD5XR7WWTSB3WP3L · pith_short_8: YD5XR7WW

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/YD5XR7WWTSB3WP3LXUZFWTFUTI \
  | 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: c0fb78fed69c83bb3f6bbd325b4cb49a101564bf2a00b5d13814c6df82b24217

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5482c5d0f4f418ffdb2c5ea4f91d4f2567629f25c3060668967ba47aa8e6b635",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2007-05-04T10:28:07Z",
    "title_canon_sha256": "6983f6d5966de979c69c21787082cdab1e89f11dddc44be0f91c3a44a762e12f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.0587",
    "kind": "arxiv",
    "version": 1
  }
}