Pith Number

pith:M4PNBVG4

pith:2020:M4PNBVG4ICXZHHGKZZZBZJPVJR

not attested not anchored not stored refs pending

On curves with high multiplicity on $\mathbb{P}(a,b,c)$ for $\min(a,b,c)\leq4$

David McKinnon, Matthew Satriano, Rindra Razafy, Yuxuan Sun

arxiv:2011.10103 v1 · 2020-11-19 · 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{M4PNBVG4ICXZHHGKZZZBZJPVJR}

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	2026-07-05T01:53:11.508658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

671ed0d4dc40af939ccace721ca5f54c4f07e03256646859c5679b30821c9da6

Aliases

arxiv: 2011.10103 · arxiv_version: 2011.10103v1 · doi: 10.48550/arxiv.2011.10103 · pith_short_12: M4PNBVG4ICXZ · pith_short_16: M4PNBVG4ICXZHHGK · pith_short_8: M4PNBVG4

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/M4PNBVG4ICXZHHGKZZZBZJPVJR \
  | 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: 671ed0d4dc40af939ccace721ca5f54c4f07e03256646859c5679b30821c9da6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e69c9807b463c0c894b4144dacd536db566dd022c805724ecb1540c397d4782",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-11-19T20:54:03Z",
    "title_canon_sha256": "b63b40d1ebfd110bc1fc08d4aadc6853e215cb35f9f808982f3f9564baf43c09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.10103",
    "kind": "arxiv",
    "version": 1
  }
}