Pith Number

pith:BWVYJBXZ

pith:2021:BWVYJBXZ2PKRESXNWEBZ2SYBP5

not attested not anchored not stored refs pending

Convex-cocompact subgroups of the Goeritz group

Bena Tshishiku

arxiv:2109.06981 v1 · 2021-09-14 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BWVYJBXZ2PKRESXNWEBZ2SYBP5}

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	2026-07-05T03:14:37.755692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dab8486f9d3d5124aedb1039d4b017f5246afe0fb6dc69ec4c90881f4ea3079

Aliases

arxiv: 2109.06981 · arxiv_version: 2109.06981v1 · doi: 10.48550/arxiv.2109.06981 · pith_short_12: BWVYJBXZ2PKR · pith_short_16: BWVYJBXZ2PKRESXN · pith_short_8: BWVYJBXZ

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/BWVYJBXZ2PKRESXNWEBZ2SYBP5 \
  | 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: 0dab8486f9d3d5124aedb1039d4b017f5246afe0fb6dc69ec4c90881f4ea3079

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c4d0b7c937cd8a039f2a3b3710131b76026579326c8179704232a0502efda12",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2021-09-14T21:51:37Z",
    "title_canon_sha256": "2d4f1b2e8cfafca4742b1a815d606a560093c7d071e02441a61289c1b448b484"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.06981",
    "kind": "arxiv",
    "version": 1
  }
}