Pith Number

pith:27UKB5TY

pith:2016:27UKB5TY6PXW7PCNDXTGZGSOQX

not attested not anchored not stored refs pending

On Generalized Commutator

Rajat Kanti Nath, Sunil Kumar Prajapati

arxiv:1605.01264 v1 · 2016-05-04 · 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{27UKB5TY6PXW7PCNDXTGZGSOQX}

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	2026-05-18T01:15:37.308203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7e8a0f678f3ef6fbc4d1de66c9a4e85d267d115a47ace572478af7503a4694e

Aliases

arxiv: 1605.01264 · arxiv_version: 1605.01264v1 · doi: 10.48550/arxiv.1605.01264 · pith_short_12: 27UKB5TY6PXW · pith_short_16: 27UKB5TY6PXW7PCN · pith_short_8: 27UKB5TY

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/27UKB5TY6PXW7PCNDXTGZGSOQX \
  | 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: d7e8a0f678f3ef6fbc4d1de66c9a4e85d267d115a47ace572478af7503a4694e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78460b2ff0453fff811d20b0e2593bce30695acfc07a8a5c6e8bc627afacf5eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-05-04T13:13:34Z",
    "title_canon_sha256": "19bf57a3cc24457f6e4cf78d08323cd96c426036aa7e2c372705be165b009894"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01264",
    "kind": "arxiv",
    "version": 1
  }
}