Pith Number

pith:E2H4GXIW

pith:2018:E2H4GXIW4EMTFBOHPUAENPXGVI

not attested not anchored not stored refs pending

Exponential convexifying of polynomials

Katarzyna Kuta, Krzysztof Kurdyka, Stanis{\l}aw Spodzieja

arxiv:1812.04874 v1 · 2018-12-12 · math.AG · 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{E2H4GXIW4EMTFBOHPUAENPXGVI}

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	2026-05-17T23:58:27.097899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

268fc35d16e1193285c77d0046bee6aa15c5f958862b6f4bc47ec4f5db52b339

Aliases

arxiv: 1812.04874 · arxiv_version: 1812.04874v1 · doi: 10.48550/arxiv.1812.04874 · pith_short_12: E2H4GXIW4EMT · pith_short_16: E2H4GXIW4EMTFBOH · pith_short_8: E2H4GXIW

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/E2H4GXIW4EMTFBOHPUAENPXGVI \
  | 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: 268fc35d16e1193285c77d0046bee6aa15c5f958862b6f4bc47ec4f5db52b339

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c73fdf4c90078e7628231aa526908137976f62d36ddb156b8f275fed91a624a1",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-12-12T10:14:40Z",
    "title_canon_sha256": "fa15c78ffcae76bb5023704e00ab20410a4adc3429e7788f00cf94ecd81e1bee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04874",
    "kind": "arxiv",
    "version": 1
  }
}