Pith Number

pith:X4MF5SLA

pith:2010:X4MF5SLAC7ZFCQS2Y2CVUCMB7Z

not attested not anchored not stored refs pending

On the order bounds for one-point AG codes

Carlos Munuera, Diego Ruano, Fernando Torres, Olav Geil

arxiv:1002.4759 v2 · 2010-02-25 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4MF5SLAC7ZFCQS2Y2CVUCMB7Z}

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	2026-05-18T04:37:20.763727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf185ec96017f251425ac6855a0981fe455bf47456c8d8b0ed6028e76029c50f

Aliases

arxiv: 1002.4759 · arxiv_version: 1002.4759v2 · doi: 10.48550/arxiv.1002.4759 · pith_short_12: X4MF5SLAC7ZF · pith_short_16: X4MF5SLAC7ZFCQS2 · pith_short_8: X4MF5SLA

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/X4MF5SLAC7ZFCQS2Y2CVUCMB7Z \
  | 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: bf185ec96017f251425ac6855a0981fe455bf47456c8d8b0ed6028e76029c50f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f323cf46ce5d1a6ad94495e5bb445ae5a490ea83b9dbff82041e1fadf6a37a36",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-02-25T11:22:50Z",
    "title_canon_sha256": "301862df61d9d3e8a0e774c463070bd8a8695069da1d9ef413bccb762b848322"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4759",
    "kind": "arxiv",
    "version": 2
  }
}