Pith Number

pith:XJCR3H2V

pith:2020:XJCR3H2VZ6LM4JZR23XSQBZK5P

not attested not anchored not stored refs pending

Full Ellipsoid Embeddings and Toric Mutations

Renato Vianna, Roger Casals

arxiv:2004.13232 v4 · 2020-04-28 · math.SG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJCR3H2VZ6LM4JZR23XSQBZK5P}

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	2026-07-05T06:22:53.209918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba451d9f55cf96ce2731d6ef28072aebf20049d754c1ea779b34d16a68c6b187

Aliases

arxiv: 2004.13232 · arxiv_version: 2004.13232v4 · doi: 10.48550/arxiv.2004.13232 · pith_short_12: XJCR3H2VZ6LM · pith_short_16: XJCR3H2VZ6LM4JZR · pith_short_8: XJCR3H2V

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/XJCR3H2VZ6LM4JZR23XSQBZK5P \
  | 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: ba451d9f55cf96ce2731d6ef28072aebf20049d754c1ea779b34d16a68c6b187

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bda7ba0bd6f6294d4a95bd8d88414d31a00d6cb3858eaf214efb67f2c310edd",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2020-04-28T00:58:12Z",
    "title_canon_sha256": "a8f7b05c9eccec82e5f9c2d5b61139b04b1ff9e1925ae3633dbf26610b4f21e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.13232",
    "kind": "arxiv",
    "version": 4
  }
}