Pith Number

pith:CZAULXRX

pith:2014:CZAULXRXR53T37PAA2UBEEJUDZ

not attested not anchored not stored refs pending

Double coset problem for parabolic subgroups of braid groups

Arkadius Kalka, Boaz Tsaban, Mina Teicher

arxiv:1402.5541 v2 · 2014-02-22 · 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{CZAULXRXR53T37PAA2UBEEJUDZ}

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	2026-05-18T01:35:27.227831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

164145de378f773dfde006a81211341e6212e0baea252be99bfd404f0664f0f1

Aliases

arxiv: 1402.5541 · arxiv_version: 1402.5541v2 · doi: 10.48550/arxiv.1402.5541 · pith_short_12: CZAULXRXR53T · pith_short_16: CZAULXRXR53T37PA · pith_short_8: CZAULXRX

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/CZAULXRXR53T37PAA2UBEEJUDZ \
  | 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: 164145de378f773dfde006a81211341e6212e0baea252be99bfd404f0664f0f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc3c10be2d5ad831550885cb7b2269550175881b8e97798dba24f21dc640c9f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-02-22T18:48:23Z",
    "title_canon_sha256": "07664b2e3bbbb915f5bc2f9e5bb53c9ffd56b9e1bd1c2211f56de02f8fd2823c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5541",
    "kind": "arxiv",
    "version": 2
  }
}