Pith Number

pith:5T7HMN57

pith:2011:5T7HMN57J2FU2BMOGFFGA6LYXU

not attested not anchored not stored refs pending

Closure of the cone of sums of 2d-powers in real topological algebras

Mehdi Ghasemi, Salma Kuhlmann

arxiv:1110.3016 v3 · 2011-10-13 · 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{5T7HMN57J2FU2BMOGFFGA6LYXU}

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	2026-05-18T03:39:51.140953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecfe7637bf4e8b4d058e314a607978bd203f8fa8fc87f352374d9ac2088fcb88

Aliases

arxiv: 1110.3016 · arxiv_version: 1110.3016v3 · doi: 10.48550/arxiv.1110.3016 · pith_short_12: 5T7HMN57J2FU · pith_short_16: 5T7HMN57J2FU2BMO · pith_short_8: 5T7HMN57

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/5T7HMN57J2FU2BMOGFFGA6LYXU \
  | 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: ecfe7637bf4e8b4d058e314a607978bd203f8fa8fc87f352374d9ac2088fcb88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83f9e77fcc77fa9338565ece0e7b75cbb6091b33f388651cc408ee4f78995bf8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-10-13T18:00:43Z",
    "title_canon_sha256": "79e57620476f758ca9e14c83c7a35b643d8f5c2613f5d21650cda02e17dfa7b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3016",
    "kind": "arxiv",
    "version": 3
  }
}