Pith Number

pith:BGGXHCSB

pith:2022:BGGXHCSBAYIGAZT3XLP3OZ5SPC

not attested not anchored not stored refs pending

An overview of complex ellipsoids

Javier Bracho, Jorge Luis Arocha, Luis Montejano

arxiv:2212.05049 v1 · 2022-12-09 · 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{BGGXHCSBAYIGAZT3XLP3OZ5SPC}

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	2026-07-05T05:23:55.204749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

098d738a41061060667bbadfb767b2788a24477cb30284afc951854e79e28f87

Aliases

arxiv: 2212.05049 · arxiv_version: 2212.05049v1 · doi: 10.48550/arxiv.2212.05049 · pith_short_12: BGGXHCSBAYIG · pith_short_16: BGGXHCSBAYIGAZT3 · pith_short_8: BGGXHCSB

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/BGGXHCSBAYIGAZT3XLP3OZ5SPC \
  | 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: 098d738a41061060667bbadfb767b2788a24477cb30284afc951854e79e28f87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb9fb057f05a719b5807bc8ab5b7e72fdefd7bea8d2241569fd6b0ceb30c9515",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2022-12-09T18:50:30Z",
    "title_canon_sha256": "57922509b8a0e1b8a2301e79f04d50b0297814d7e42b78650d57d63cbb093514"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.05049",
    "kind": "arxiv",
    "version": 1
  }
}