Pith Number

pith:DIYKRXW7

pith:2015:DIYKRXW7VVSUSPCAJ3D42LJXK2

not attested not anchored not stored refs pending

Intersection graph of cyclic subgroups of groups

P. Devi, R. Rajkumar

arxiv:1509.04574 v1 · 2015-09-15 · 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{DIYKRXW7VVSUSPCAJ3D42LJXK2}

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	2026-05-18T01:32:58.536629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a30a8dedfad65493c404ec7cd2d3756a522e0921d5c45a41d0b0896b4908ff0

Aliases

arxiv: 1509.04574 · arxiv_version: 1509.04574v1 · doi: 10.48550/arxiv.1509.04574 · pith_short_12: DIYKRXW7VVSU · pith_short_16: DIYKRXW7VVSUSPCA · pith_short_8: DIYKRXW7

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/DIYKRXW7VVSUSPCAJ3D42LJXK2 \
  | 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: 1a30a8dedfad65493c404ec7cd2d3756a522e0921d5c45a41d0b0896b4908ff0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3019cdc39c59ca61aa5655b93602e5ed77e3b4dc71732fc289f200faea944f00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-09-15T14:17:33Z",
    "title_canon_sha256": "894f6328316739f15e3f6701cde9626c8e77fd183bcfe5e0c7c219da9ef038f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04574",
    "kind": "arxiv",
    "version": 1
  }
}