Pith Number

pith:JDIJRC73

pith:2016:JDIJRC73PURJSZV6EVH5DIPBXJ

not attested not anchored not stored refs pending

Groups in which Squares and Cubes Commute

Geetha Venkataraman

arxiv:1605.05463 v1 · 2016-05-18 · 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{JDIJRC73PURJSZV6EVH5DIPBXJ}

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	2026-05-18T01:14:34.861355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48d0988bfb7d229966be254fd1a1e1ba54fde3a6f950a9e09eeaefbbfe6174de

Aliases

arxiv: 1605.05463 · arxiv_version: 1605.05463v1 · doi: 10.48550/arxiv.1605.05463 · pith_short_12: JDIJRC73PURJ · pith_short_16: JDIJRC73PURJSZV6 · pith_short_8: JDIJRC73

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/JDIJRC73PURJSZV6EVH5DIPBXJ \
  | 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: 48d0988bfb7d229966be254fd1a1e1ba54fde3a6f950a9e09eeaefbbfe6174de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc92ceccc5212353eb96a4776cdd0b63c452ab19e191dd8f06a40894dcbd0b24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-05-18T07:40:49Z",
    "title_canon_sha256": "b8b7c64b78a81348db06a7a285b731cea0c1f311e825b68a33b73db1d8195c3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05463",
    "kind": "arxiv",
    "version": 1
  }
}