Pith Number

pith:VUQVRQJ2

pith:2026:VUQVRQJ2CCSDTZZHZNUPNQN4MH

not attested not anchored not stored refs pending

Standard morphisms and Pythagorean triples

Andr\'e Carvalho, Jo\~ao Ara\'ujo

arxiv:2608.11975 v1 · 2026-08-12 · 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{VUQVRQJ2CCSDTZZHZNUPNQN4MH}

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	2026-08-13T01:29:09.015733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad2158c13a10a439e727cb68f6c1bc61da6fd1b22db70812782e6cb16b8bca91

Aliases

arxiv: 2608.11975 · arxiv_version: 2608.11975v1 · doi: 10.48550/arxiv.2608.11975 · pith_short_12: VUQVRQJ2CCSD · pith_short_16: VUQVRQJ2CCSDTZZH · pith_short_8: VUQVRQJ2

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/VUQVRQJ2CCSDTZZHZNUPNQN4MH \
  | 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: ad2158c13a10a439e727cb68f6c1bc61da6fd1b22db70812782e6cb16b8bca91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99784b4ae11ca89d9a114eec5069c7f08f2e3f0f33c8ee6b1213e25eeae2c76c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-12T12:06:46Z",
    "title_canon_sha256": "c047b2388c40f96c506a6509cc66573ec656f1902b1a70a20f7a3c28d86a61c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11975",
    "kind": "arxiv",
    "version": 1
  }
}