Pith Number

pith:G4VN4SO5

pith:2008:G4VN4SO5D6GLXTWGZSQOPQI6C7

not attested not anchored not stored refs pending

Uncountable families of prime z-ideals in C_0(R)

Hung Le Pham

arxiv:0801.0315 v1 · 2008-01-01 · 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{G4VN4SO5D6GLXTWGZSQOPQI6C7}

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	2026-05-18T02:58:11.930989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

372ade49dd1f8cbbcec6cca0e7c11e17dad934f5e3bd7fdc5921524fe4026eac

Aliases

arxiv: 0801.0315 · arxiv_version: 0801.0315v1 · doi: 10.48550/arxiv.0801.0315 · pith_short_12: G4VN4SO5D6GL · pith_short_16: G4VN4SO5D6GLXTWG · pith_short_8: G4VN4SO5

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/G4VN4SO5D6GLXTWGZSQOPQI6C7 \
  | 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: 372ade49dd1f8cbbcec6cca0e7c11e17dad934f5e3bd7fdc5921524fe4026eac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be2ad50ba1e48751da2ba7ec899be8cb140219f7bf57466026d5981b02a6be55",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2008-01-01T21:05:42Z",
    "title_canon_sha256": "dd785fa981cae55e46f28b27fdb37da969bb12aa317b441efcc1d8cd724892b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.0315",
    "kind": "arxiv",
    "version": 1
  }
}