Pith Number

pith:TLLMC3LG

pith:2025:TLLMC3LGLB5DCLLV5KQ7WMRQJ3

not attested not anchored not stored refs pending

A note on elliptic curves on toric surfaces

Ilya Tyomkin, Michael M. Barash

arxiv:2503.16966 v2 · 2025-03-21 · 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{TLLMC3LGLB5DCLLV5KQ7WMRQJ3}

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	2026-05-26T01:02:26.091764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ad6c16d66587a312d75eaa1fb32304ed3861ad14f2b90dc004aeb149af4e25f

Aliases

arxiv: 2503.16966 · arxiv_version: 2503.16966v2 · doi: 10.48550/arxiv.2503.16966 · pith_short_12: TLLMC3LGLB5D · pith_short_16: TLLMC3LGLB5DCLLV · pith_short_8: TLLMC3LG

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/TLLMC3LGLB5DCLLV5KQ7WMRQJ3 \
  | 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: 9ad6c16d66587a312d75eaa1fb32304ed3861ad14f2b90dc004aeb149af4e25f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9e89a5aa9abf001437832037f622dfb8f98fe3a2b3b4e1432200faa475d1943",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-03-21T09:29:05Z",
    "title_canon_sha256": "61901ec2e06f23ae829d870941fe0d7d6eae33af8de87d8b24b038150e6057bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.16966",
    "kind": "arxiv",
    "version": 2
  }
}