Pith Number

pith:RVHA6S7X

pith:2014:RVHA6S7X4ONZWOFDL45ODLUFAC

not attested not anchored not stored refs pending

Abel-Grassmann Groupoids of Modulo Matrices

Imtiaz Ahmad, Muhammad Rashad Amanullah

arxiv:1403.2304 v2 · 2014-03-10 · 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{RVHA6S7X4ONZWOFDL45ODLUFAC}

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	2026-05-18T01:12:18.820491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d4e0f4bf7e39b9b38a35f3ae1ae85009096bf54a4b7b48a45d5b9e177c60c3c

Aliases

arxiv: 1403.2304 · arxiv_version: 1403.2304v2 · doi: 10.48550/arxiv.1403.2304 · pith_short_12: RVHA6S7X4ONZ · pith_short_16: RVHA6S7X4ONZWOFD · pith_short_8: RVHA6S7X

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/RVHA6S7X4ONZWOFDL45ODLUFAC \
  | 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: 8d4e0f4bf7e39b9b38a35f3ae1ae85009096bf54a4b7b48a45d5b9e177c60c3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe6acce6989e20d53beb1a57b9f00a8646a26f41b1ec103ca951d3a02637d6a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-03-10T17:08:17Z",
    "title_canon_sha256": "c0ca96eb07d0747bf33e71ed5df100e98f043d92fcf06bcb4ddbf9a0c746875b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2304",
    "kind": "arxiv",
    "version": 2
  }
}