Pith Number

pith:63QWO2W7

pith:2016:63QWO2W7LQ6ZQ2KYANHQTBXK5K

not attested not anchored not stored refs pending

On the convexity of numerical range over certain fields

E. Ballico

arxiv:1611.06082 v1 · 2016-11-18 · 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{63QWO2W7LQ6ZQ2KYANHQTBXK5K}

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	2026-05-18T00:57:43.128223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6e1676adf5c3d986958034f0986eaeab38754783cc729d999e64bae490a1e5f

Aliases

arxiv: 1611.06082 · arxiv_version: 1611.06082v1 · doi: 10.48550/arxiv.1611.06082 · pith_short_12: 63QWO2W7LQ6Z · pith_short_16: 63QWO2W7LQ6ZQ2KY · pith_short_8: 63QWO2W7

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/63QWO2W7LQ6ZQ2KYANHQTBXK5K \
  | 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: f6e1676adf5c3d986958034f0986eaeab38754783cc729d999e64bae490a1e5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aabc04a8186f5d09cf8d29310e9a4c0c7ef74d6762e6b89d84e8e85fda45e2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-11-18T14:03:27Z",
    "title_canon_sha256": "9cac0a57cfb70ed666b8345039b0e2b50529e1365b7a4119b617e1cda6b5ae3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06082",
    "kind": "arxiv",
    "version": 1
  }
}