Pith Number

pith:IW7YW4XN

pith:2014:IW7YW4XNEVNQ7N4BUYAU5YZPSC

not attested not anchored not stored refs pending

The ultrasimplicial property for simple dimension groups with unique state, the image of which has rank one

Gregory R. Maloney

arxiv:1406.4353 v1 · 2014-06-17 · 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{IW7YW4XNEVNQ7N4BUYAU5YZPSC}

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	2026-05-18T02:49:37.737176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45bf8b72ed255b0fb781a6014ee32f9086d8fb41f96a5329ae6ab10b66141fc8

Aliases

arxiv: 1406.4353 · arxiv_version: 1406.4353v1 · doi: 10.48550/arxiv.1406.4353 · pith_short_12: IW7YW4XNEVNQ · pith_short_16: IW7YW4XNEVNQ7N4B · pith_short_8: IW7YW4XN

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/IW7YW4XNEVNQ7N4BUYAU5YZPSC \
  | 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: 45bf8b72ed255b0fb781a6014ee32f9086d8fb41f96a5329ae6ab10b66141fc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "132801baa895582388d633f4d3caf5c9f608216fb3f4213ad6c238a6d8e00ac5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-06-17T13:03:01Z",
    "title_canon_sha256": "2f5cc964d90c6531ea36d572c95308bd6bd12a3eee6e479e7eb6e3f624d5b0c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4353",
    "kind": "arxiv",
    "version": 1
  }
}