Pith Number

pith:4PNETZBW

pith:2011:4PNETZBWOPG4HTHAXCHR6EADWG

not attested not anchored not stored refs pending

Closure of the cone of sums of 2d-powers in certain weighted $\ell_1$-seminorm topologies

Mehdi Ghasemi, Murray Marshall, Sven Wagner

arxiv:1109.0048 v1 · 2011-08-31 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PNETZBWOPG4HTHAXCHR6EADWG}

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	2026-05-18T03:04:50.215306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3da49e43673cdc3cce0b88f1f1003b18c9c1f1687616ba507abaf32a40ffe61

Aliases

arxiv: 1109.0048 · arxiv_version: 1109.0048v1 · doi: 10.48550/arxiv.1109.0048 · pith_short_12: 4PNETZBWOPG4 · pith_short_16: 4PNETZBWOPG4HTHA · pith_short_8: 4PNETZBW

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/4PNETZBWOPG4HTHAXCHR6EADWG \
  | 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: e3da49e43673cdc3cce0b88f1f1003b18c9c1f1687616ba507abaf32a40ffe61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eabe6a27e31be6a21fd12652fb8b0d0a72a0cfd86bdd9e485d3e65cb5d81eb9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-08-31T22:43:21Z",
    "title_canon_sha256": "e9ff8a19de1c9a57c990cc8bae0ba806a06a8c075c82d66adfc98a288be3f9af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0048",
    "kind": "arxiv",
    "version": 1
  }
}