Pith Number

pith:EOEI3UCV

pith:2013:EOEI3UCVKZB2KVGNTXOPVTVETX

not attested not anchored not stored refs pending

Double Centralizers of Parabolic Subgroups of Braid Groups

Arkadius Kalka, David Garber, Eran Liberman, Mina Teicher

arxiv:1310.0936 v5 · 2013-10-03 · 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{EOEI3UCVKZB2KVGNTXOPVTVETX}

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	2026-05-18T01:49:56.167273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23888dd0555643a554cd9ddcfacea49dd5f637c8d828b47de9b75db12b467eaa

Aliases

arxiv: 1310.0936 · arxiv_version: 1310.0936v5 · doi: 10.48550/arxiv.1310.0936 · pith_short_12: EOEI3UCVKZB2 · pith_short_16: EOEI3UCVKZB2KVGN · pith_short_8: EOEI3UCV

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/EOEI3UCVKZB2KVGNTXOPVTVETX \
  | 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: 23888dd0555643a554cd9ddcfacea49dd5f637c8d828b47de9b75db12b467eaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d6ec23241b0419edcaeb333f6c8ece7e53e2f7750c892efdad9e3b51b965224",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-10-03T10:20:56Z",
    "title_canon_sha256": "d630551a79bcc34a42e963a46a6235ccc0624cd0fe068263ea0f0820b3895483"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0936",
    "kind": "arxiv",
    "version": 5
  }
}