Pith Number

pith:Z5DQ5LPZ

pith:2020:Z5DQ5LPZWXL2B4EJ4DXTA3XB3W

not attested not anchored not stored refs pending

Extremal inscribed and circumscribed complex ellipsoids

Javier Bracho, Jorge L. Arocha, Luis Montejano

arxiv:2012.14934 v1 · 2020-12-29 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5DQ5LPZWXL2B4EJ4DXTA3XB3W}

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	2026-07-05T02:03:02.713987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf470eadf9b5d7a0f089e0ef306ee1dd8da538c99b146fcc435f91fb1955da95

Aliases

arxiv: 2012.14934 · arxiv_version: 2012.14934v1 · doi: 10.48550/arxiv.2012.14934 · pith_short_12: Z5DQ5LPZWXL2 · pith_short_16: Z5DQ5LPZWXL2B4EJ · pith_short_8: Z5DQ5LPZ

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/Z5DQ5LPZWXL2B4EJ4DXTA3XB3W \
  | 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: cf470eadf9b5d7a0f089e0ef306ee1dd8da538c99b146fcc435f91fb1955da95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15b1e6d047d88a392a4785579a356341d4c8747cdeef8a6a29255daa0d731b8f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2020-12-29T20:39:35Z",
    "title_canon_sha256": "7b59de3a756be60690e2746a9578ab7a461c0c13f15da9f5f8848bb84fc1c690"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.14934",
    "kind": "arxiv",
    "version": 1
  }
}