Pith Number

pith:5EVM2KFY

pith:2015:5EVM2KFYHTHD3B4HFVTF2BDG6H

not attested not anchored not stored refs pending

Coprime graph of subgroups of a group

P. Devi, R. Rajkumar

arxiv:1510.00129 v2 · 2015-10-01 · 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{5EVM2KFYHTHD3B4HFVTF2BDG6H}

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	2026-05-18T01:25:11.257033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e92acd28b83cce3d87872d665d0466f1c05971e6292017b43939f3203750cd56

Aliases

arxiv: 1510.00129 · arxiv_version: 1510.00129v2 · doi: 10.48550/arxiv.1510.00129 · pith_short_12: 5EVM2KFYHTHD · pith_short_16: 5EVM2KFYHTHD3B4H · pith_short_8: 5EVM2KFY

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/5EVM2KFYHTHD3B4HFVTF2BDG6H \
  | 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: e92acd28b83cce3d87872d665d0466f1c05971e6292017b43939f3203750cd56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b290bb42a042a1841b52e2f8673583f5949d8cc0752ba55ea1e3e56575bb261b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-10-01T07:37:01Z",
    "title_canon_sha256": "27fc3cd4e4e76fb75193afc85386f740df451a0db2e386ce3c2eff2b4654a1c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00129",
    "kind": "arxiv",
    "version": 2
  }
}