Pith Number

pith:GT5XLTK6

pith:2013:GT5XLTK65KPR5A6OMWDO6L32JF

not attested not anchored not stored refs pending

Affine Near-Semirings over Brandt Semigroups

Jitender Kumar, K. V. Krishna

arxiv:1301.6438 v2 · 2013-01-28 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GT5XLTK65KPR5A6OMWDO6L32JF}

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	2026-05-18T02:44:54.919808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34fb75cd5eea9f1e83ce6586ef2f7a496194b3e191447c1f48fb72c4763b7a61

Aliases

arxiv: 1301.6438 · arxiv_version: 1301.6438v2 · doi: 10.48550/arxiv.1301.6438 · pith_short_12: GT5XLTK65KPR · pith_short_16: GT5XLTK65KPR5A6O · pith_short_8: GT5XLTK6

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/GT5XLTK65KPR5A6OMWDO6L32JF \
  | 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: 34fb75cd5eea9f1e83ce6586ef2f7a496194b3e191447c1f48fb72c4763b7a61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d5402f66561b67515dd9b0d1a604809947e6b717a0e67885e5b3c3c5804dea1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-01-28T04:00:23Z",
    "title_canon_sha256": "5be741d5f93298cad3d99ac17bd01edb003f7cf2303506c538a454a63ba62a6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6438",
    "kind": "arxiv",
    "version": 2
  }
}