Pith Number

pith:IBSHMLMI

pith:2019:IBSHMLMIKYD43XYGQZEFAUBGEH

not attested not anchored not stored refs pending

Biquadratic addition laws on elliptic curves in $\mathbb{P}^3$ and the canonical map of the $(1,2,2)$-Theta divisor

Luca Cesarano

arxiv:1904.11071 v1 · 2019-04-24 · 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{IBSHMLMIKYD43XYGQZEFAUBGEH}

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	2026-05-17T23:47:45.902171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4064762d885607cddf06864850502621cd401ba1443ef46cea1220f4487fa866

Aliases

arxiv: 1904.11071 · arxiv_version: 1904.11071v1 · doi: 10.48550/arxiv.1904.11071 · pith_short_12: IBSHMLMIKYD4 · pith_short_16: IBSHMLMIKYD43XYG · pith_short_8: IBSHMLMI

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/IBSHMLMIKYD43XYGQZEFAUBGEH \
  | 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: 4064762d885607cddf06864850502621cd401ba1443ef46cea1220f4487fa866

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58466b004f43cf87da701f29a67bf1c71c9a7992a1c7e3f63b2549650a65f7a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-04-24T21:11:01Z",
    "title_canon_sha256": "fa5e672d8a98327592ad57470c11389853a6153707ede2d2bbb5280e5c6d3a25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.11071",
    "kind": "arxiv",
    "version": 1
  }
}