Pith Number

pith:KX6LJLUT

pith:2011:KX6LJLUT7LHFF5A7E7D7G66OHB

not attested not anchored not stored refs pending

Upper bounds on the magnitude of solutions of certain linear systems with integer coefficients

Gaspar Porta, Pedro J. Freitas, Shmuel Friedland

arxiv:1108.4078 v2 · 2011-08-20 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KX6LJLUT7LHFF5A7E7D7G66OHB}

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	2026-05-18T03:56:24.224040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55fcb4ae93face52f41f27c7f37bce3842a50f7ba9a3a9e9e2c2dea54bf67d81

Aliases

arxiv: 1108.4078 · arxiv_version: 1108.4078v2 · doi: 10.48550/arxiv.1108.4078 · pith_short_12: KX6LJLUT7LHF · pith_short_16: KX6LJLUT7LHFF5A7 · pith_short_8: KX6LJLUT

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/KX6LJLUT7LHFF5A7E7D7G66OHB \
  | 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: 55fcb4ae93face52f41f27c7f37bce3842a50f7ba9a3a9e9e2c2dea54bf67d81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "402ec035e15e4abe0075ce8eb4943bfe09da037e0fdc3892c8269abfa14b2d4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-08-20T02:00:41Z",
    "title_canon_sha256": "35c5491274d8c96fc2052a3f454304ef8e09c943bcff0ee442ae4f6b2446a740"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4078",
    "kind": "arxiv",
    "version": 2
  }
}