Pith Number

pith:HGZ7UVRH

pith:2012:HGZ7UVRHQV3ULYZJGSQUI5FMZX

not attested not anchored not stored refs pending

On $p$-schemes of order $p^3$

Jung Rae Cho, Kijung Kim, Mitsugu Hirasaka

arxiv:1203.1678 v1 · 2012-03-08 · 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{HGZ7UVRHQV3ULYZJGSQUI5FMZX}

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	2026-05-18T04:00:37.285765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39b3fa5627857745e32934a14474accdd445495e6b20b9d7c4d83550a212f641

Aliases

arxiv: 1203.1678 · arxiv_version: 1203.1678v1 · doi: 10.48550/arxiv.1203.1678 · pith_short_12: HGZ7UVRHQV3U · pith_short_16: HGZ7UVRHQV3ULYZJ · pith_short_8: HGZ7UVRH

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/HGZ7UVRHQV3ULYZJGSQUI5FMZX \
  | 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: 39b3fa5627857745e32934a14474accdd445495e6b20b9d7c4d83550a212f641

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e0663efb88ab66d0f2a644ceeed71e58f02a2513f27b36c723d46dc7ddbe881",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-08T02:07:09Z",
    "title_canon_sha256": "c58bfb74c25fa9b67d200effb71e81dc2081923c8489b8153c70b1602cdc2818"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1678",
    "kind": "arxiv",
    "version": 1
  }
}