Pith Number

pith:E4E6DJX3

pith:2018:E4E6DJX3METNEXR7KECRYBHBKV

not attested not anchored not stored refs pending

The pure cactus group is residually nilpotent

Jacob Mostovoy

arxiv:1804.09165 v1 · 2018-04-24 · 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{E4E6DJX3METNEXR7KECRYBHBKV}

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	2026-05-18T00:17:36.116063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2709e1a6fb6126d25e3f51051c04e1556db6b84760b753091615ed087da9d398

Aliases

arxiv: 1804.09165 · arxiv_version: 1804.09165v1 · doi: 10.48550/arxiv.1804.09165 · pith_short_12: E4E6DJX3METN · pith_short_16: E4E6DJX3METNEXR7 · pith_short_8: E4E6DJX3

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/E4E6DJX3METNEXR7KECRYBHBKV \
  | 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: 2709e1a6fb6126d25e3f51051c04e1556db6b84760b753091615ed087da9d398

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98d3de5d4ba26818557ad4be0f6258d7ad46becf998b2c24b7466636ccd2c55f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-04-24T17:48:42Z",
    "title_canon_sha256": "45aeec9923a0d327f78c2b583cd523a854e93a46d36432392e17fb9c5d585fb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09165",
    "kind": "arxiv",
    "version": 1
  }
}