Pith Number

pith:Z2JZGXEW

pith:2020:Z2JZGXEWJOSXYGKB2FMDEQWIJJ

not attested not anchored not stored refs pending

Special eccentricities of rational four-dimensional ellipsoids

Dan Cristofaro-Gardiner

arxiv:2004.13647 v1 · 2020-04-28 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2JZGXEWJOSXYGKB2FMDEQWIJJ}

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.

Cited by

1 paper in Pith

Quadrilateral mutations and symplectic embeddings

Receipt and verification

First computed	2026-07-05T05:12:06.985324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce93935c964ba57c1941d1583242c84a5de0f64127730d393e6268ceaa6156d8

Aliases

arxiv: 2004.13647 · arxiv_version: 2004.13647v1 · doi: 10.48550/arxiv.2004.13647 · pith_short_12: Z2JZGXEWJOSX · pith_short_16: Z2JZGXEWJOSXYGKB · pith_short_8: Z2JZGXEW

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/Z2JZGXEWJOSXYGKB2FMDEQWIJJ \
  | 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: ce93935c964ba57c1941d1583242c84a5de0f64127730d393e6268ceaa6156d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aa30612ef789fa1874ba5b69bcbcd1d5e3e11c537fe1e70b9c13ae81ddac1c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2020-04-28T16:44:40Z",
    "title_canon_sha256": "30cde659c091b82ba610227e2c4c098847348ac609ba4d7902e12f26a840c134"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.13647",
    "kind": "arxiv",
    "version": 1
  }
}