Pith Number

pith:2V4WLMKT

pith:2013:2V4WLMKT3QUA43BCT4LM6CDC4B

not attested not anchored not stored refs pending

Canonical forms for free {\kappa}-semigroups

Jos\'e Carlos Costa

arxiv:1309.1450 v2 · 2013-09-05 · math.RA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2V4WLMKT3QUA43BCT4LM6CDC4B}

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	2026-05-18T02:56:11.502351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d57965b153dc280e6c229f16cf0862e0476b5b3ad1e5ef73a3ee5a25ed03dde2

Aliases

arxiv: 1309.1450 · arxiv_version: 1309.1450v2 · doi: 10.48550/arxiv.1309.1450 · pith_short_12: 2V4WLMKT3QUA · pith_short_16: 2V4WLMKT3QUA43BC · pith_short_8: 2V4WLMKT

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/2V4WLMKT3QUA43BCT4LM6CDC4B \
  | 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: d57965b153dc280e6c229f16cf0862e0476b5b3ad1e5ef73a3ee5a25ed03dde2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bb053b4f8a3140826a723a5a69fdb3e441af6d3821e97cf3b3feae618096405",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-09-05T19:22:52Z",
    "title_canon_sha256": "f1e920ab2c649b36d5aa47e31713fab3323be8a70986b5b3c971e0bd8b12507b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1450",
    "kind": "arxiv",
    "version": 2
  }
}