Pith Number

pith:ICD347NO

pith:2000:ICD347NOE3LB2CGXSFXZSPXWZF

not attested not anchored not stored refs pending

Springer theory in braid groups and the Birman-Ko-Lee monoid

David Bessis, Francois Digne, Jean Michel

arxiv:math/0010254 v1 · 2000-10-26 · math.GR · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ICD347NOE3LB2CGXSFXZSPXWZF}

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

Using Large Language Models to Study Mathematical Practice

Receipt and verification

First computed	2026-07-04T14:34:53.231773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4087be7dae26d61d08d7916f993ef6c9736dcbacd450b8e75199a5d5fd4b9164

Aliases

arxiv: math/0010254 · arxiv_version: math/0010254v1 · doi: 10.48550/arxiv.math/0010254 · pith_short_12: ICD347NOE3LB · pith_short_16: ICD347NOE3LB2CGX · pith_short_8: ICD347NO

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/ICD347NOE3LB2CGXSFXZSPXWZF \
  | 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: 4087be7dae26d61d08d7916f993ef6c9736dcbacd450b8e75199a5d5fd4b9164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7f1f095732efa79d8827932db439b8e1b7104e52a60eaa51bfad74f298fdc01",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2000-10-26T17:35:12Z",
    "title_canon_sha256": "61ba03a18e17d81c32595404004c411c49edba5f385b8d248a0858901de35049"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0010254",
    "kind": "arxiv",
    "version": 1
  }
}