Pith Number

pith:S6CTRI6L

pith:2010:S6CTRI6LFXWHPGT7HLH4ZH3PYQ

not attested not anchored not stored refs pending

Fast algorithmic Nielsen-Thurston classification of four-strand braids

Bert Wiest (IRMAR), Matthieu Calvez (IRMAR)

arxiv:1004.0067 v4 · 2010-04-01 · 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{S6CTRI6LFXWHPGT7HLH4ZH3PYQ}

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	2026-05-18T02:24:18.416982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

978538a3cb2dec779a7f3acfcc9f6fc4036e2a01bc593fde48bbbc64ef82b041

Aliases

arxiv: 1004.0067 · arxiv_version: 1004.0067v4 · doi: 10.48550/arxiv.1004.0067 · pith_short_12: S6CTRI6LFXWH · pith_short_16: S6CTRI6LFXWHPGT7 · pith_short_8: S6CTRI6L

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/S6CTRI6LFXWHPGT7HLH4ZH3PYQ \
  | 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: 978538a3cb2dec779a7f3acfcc9f6fc4036e2a01bc593fde48bbbc64ef82b041

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2da3e2578bbb079a18bab68dceb3edabe2e6d7349f272ac5503362871c7b99ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-04-01T07:03:06Z",
    "title_canon_sha256": "3b236691d0bd7ca50a3b624b603360d90f8d46288bb9cba787d6aa008ddb5078"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0067",
    "kind": "arxiv",
    "version": 4
  }
}