Pith Number

pith:LZFXCBAQ

pith:2022:LZFXCBAQMESKM7EGYRIGWLXYJG

not attested not anchored not stored refs pending

Cactus groups from the viewpoint of geometric group theory

Anthony Genevois

arxiv:2212.03494 v1 · 2022-12-07 · 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{LZFXCBAQMESKM7EGYRIGWLXYJG}

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

Trickle groups

Receipt and verification

First computed	2026-07-05T05:23:17.111385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e4b7104106124a67c86c4506b2ef84988959507c13fca42cf58f59a3fd39e4d

Aliases

arxiv: 2212.03494 · arxiv_version: 2212.03494v1 · doi: 10.48550/arxiv.2212.03494 · pith_short_12: LZFXCBAQMESK · pith_short_16: LZFXCBAQMESKM7EG · pith_short_8: LZFXCBAQ

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/LZFXCBAQMESKM7EGYRIGWLXYJG \
  | 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: 5e4b7104106124a67c86c4506b2ef84988959507c13fca42cf58f59a3fd39e4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7183e9d0a8d89979630a95c27e53ace3fd5f660ed74af61e518b4ce70c6d640d",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2022-12-07T07:19:39Z",
    "title_canon_sha256": "769b1da2b6ad54ac2fa32e69bb0f0c2531020c66a349154cff7d5b00ab097e5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.03494",
    "kind": "arxiv",
    "version": 1
  }
}