Pith Number

pith:F5GVJORX

pith:2015:F5GVJORXY4Z3FUJ26QJY2EXUZD

not attested not anchored not stored refs pending

Topology On BCK-Modules

Agha Kashif, M. Aslam

arxiv:1509.01234 v1 · 2015-09-02 · math.GM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F5GVJORXY4Z3FUJ26QJY2EXUZD}

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	2026-05-18T01:33:59.189803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f4d54ba37c733b2d13af4138d12f4c8da7b8801bab086c72f6ae95f011d19b9

Aliases

arxiv: 1509.01234 · arxiv_version: 1509.01234v1 · doi: 10.48550/arxiv.1509.01234 · pith_short_12: F5GVJORXY4Z3 · pith_short_16: F5GVJORXY4Z3FUJ2 · pith_short_8: F5GVJORX

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/F5GVJORXY4Z3FUJ26QJY2EXUZD \
  | 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: 2f4d54ba37c733b2d13af4138d12f4c8da7b8801bab086c72f6ae95f011d19b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6145afe484f696007789adb33579ba8dd75d8a72a387150d6c533832913659a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2015-09-02T10:54:13Z",
    "title_canon_sha256": "7e476504167235c531060aa8b0995dd846fe617e78f0135d24eec7c83d449dd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01234",
    "kind": "arxiv",
    "version": 1
  }
}