Pith Number

pith:XQONMACD

pith:2012:XQONMACD33RWRKS74GD6NIGD3T

not attested not anchored not stored refs pending

A fast solution to the conjugacy problem in the 4-strand braid group

Bert Wiest (IRMAR), Matthieu Calvez (IRMAR)

arxiv:1204.6507 v1 · 2012-04-29 · 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{XQONMACD33RWRKS74GD6NIGD3T}

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	2026-05-18T03:56:44.588283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc1cd60043dee368aa5fe187e6a0c3dcde2e6770da1e25a762ba37de6dea5385

Aliases

arxiv: 1204.6507 · arxiv_version: 1204.6507v1 · doi: 10.48550/arxiv.1204.6507 · pith_short_12: XQONMACD33RW · pith_short_16: XQONMACD33RWRKS7 · pith_short_8: XQONMACD

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/XQONMACD33RWRKS74GD6NIGD3T \
  | 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: bc1cd60043dee368aa5fe187e6a0c3dcde2e6770da1e25a762ba37de6dea5385

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e07cd0b9d03a33bf538671bf29faa5abf64432b7ca7c4b6c6ca86f39310c8b60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-04-29T19:30:22Z",
    "title_canon_sha256": "20811d416f0a4c1388c64effaba34b83d78e5e66530bb92f00ea6cca361bbc71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6507",
    "kind": "arxiv",
    "version": 1
  }
}