Pith Number

pith:CRRH4SQR

pith:2016:CRRH4SQRFZQ3UYYQLDYJ3WSZGN

not attested not anchored not stored refs pending

Subgroups of 3-factor direct products

Daniel Neuen, Pascal Schweitzer

arxiv:1607.03444 v1 · 2016-07-12 · 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{CRRH4SQRFZQ3UYYQLDYJ3WSZGN}

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	2026-05-18T01:11:08.967578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14627e4a112e61ba631058f09dda59335f2a4c339c7953c98dcb3a86e98dc672

Aliases

arxiv: 1607.03444 · arxiv_version: 1607.03444v1 · doi: 10.48550/arxiv.1607.03444 · pith_short_12: CRRH4SQRFZQ3 · pith_short_16: CRRH4SQRFZQ3UYYQ · pith_short_8: CRRH4SQR

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/CRRH4SQRFZQ3UYYQLDYJ3WSZGN \
  | 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: 14627e4a112e61ba631058f09dda59335f2a4c339c7953c98dcb3a86e98dc672

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d64ad74fe03deaaf83ac68acb4c78a4576945b44b4460d5cc8cf9a65a9070b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-07-12T17:36:43Z",
    "title_canon_sha256": "9203448e65845aaab7042237ec6e01b1cd91e311189d55fbc2c7073c4afb7ba3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03444",
    "kind": "arxiv",
    "version": 1
  }
}