Pith Number

pith:FBX3RFJ4

pith:2023:FBX3RFJ4FMDDASZ2LX52K2JJNR

not attested not anchored not stored refs pending

CAT(0) and cubulated Shephard groups

Katherine Goldman

arxiv:2310.10883 v2 · 2023-10-16 · math.GR · math.AT · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FBX3RFJ4FMDDASZ2LX52K2JJNR}

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.

Cited by

1 paper in Pith

2-dimensional Shephard groups

Receipt and verification

First computed	2026-07-05T09:50:44.622043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

286fb8953c2b06304b3a5dfba569296c73dbf0186efc15f0752b17e9ee42d7e5

Aliases

arxiv: 2310.10883 · arxiv_version: 2310.10883v2 · doi: 10.48550/arxiv.2310.10883 · pith_short_12: FBX3RFJ4FMDD · pith_short_16: FBX3RFJ4FMDDASZ2 · pith_short_8: FBX3RFJ4

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/FBX3RFJ4FMDDASZ2LX52K2JJNR \
  | 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: 286fb8953c2b06304b3a5dfba569296c73dbf0186efc15f0752b17e9ee42d7e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c225b67dbad23b7b5ae5540993804773215c3e7257d334753898d7480490116a",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-10-16T23:32:25Z",
    "title_canon_sha256": "80b6f375d7b376c099dcbd0e5adf34c2aff22f81e64b890b78d890a926b9edcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.10883",
    "kind": "arxiv",
    "version": 2
  }
}