Pith Number

pith:NKL33RZV

pith:2009:NKL33RZVEO3VAYPKRLEMOYXP2V

not attested not anchored not stored refs pending

Bi-resolving graph homomorphisms and extensions of bi-closing codes

In-Je Lee, Uijin Jung

arxiv:0904.3042 v2 · 2009-04-20 · math.DS · 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{NKL33RZVEO3VAYPKRLEMOYXP2V}

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	2026-05-18T03:06:22.911680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a97bdc73523b75061ea8ac8c762efd557ed3e46864e95187bcedf18e43d57ba

Aliases

arxiv: 0904.3042 · arxiv_version: 0904.3042v2 · doi: 10.48550/arxiv.0904.3042 · pith_short_12: NKL33RZVEO3V · pith_short_16: NKL33RZVEO3VAYPK · pith_short_8: NKL33RZV

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/NKL33RZVEO3VAYPKRLEMOYXP2V \
  | 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: 6a97bdc73523b75061ea8ac8c762efd557ed3e46864e95187bcedf18e43d57ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fb79825f11ef58fe71d200015d921b1fb67a1dca651344b93fba951c348cee7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-04-20T14:10:46Z",
    "title_canon_sha256": "d11fe3daabc1724acf638b4b0e901f4f8a67effce1e80223b4fd48979930517e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.3042",
    "kind": "arxiv",
    "version": 2
  }
}