Pith Number

pith:A5MFK2N6

pith:2018:A5MFK2N6NKU2YAP67POLG4IV7B

not attested not anchored not stored refs pending

An elliptic second main theorem

Julien Duval

arxiv:1810.03830 v2 · 2018-10-09 · math.CV · 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{A5MFK2N6NKU2YAP67POLG4IV7B}

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	2026-05-17T23:54:22.386806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07585569be6aa9ac01fefbdcb37115f85b7458aaf9116f5465432b0bb7100610

Aliases

arxiv: 1810.03830 · arxiv_version: 1810.03830v2 · doi: 10.48550/arxiv.1810.03830 · pith_short_12: A5MFK2N6NKU2 · pith_short_16: A5MFK2N6NKU2YAP6 · pith_short_8: A5MFK2N6

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/A5MFK2N6NKU2YAP67POLG4IV7B \
  | 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: 07585569be6aa9ac01fefbdcb37115f85b7458aaf9116f5465432b0bb7100610

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d11dd58c948388e7b6be35a07036c0654a2114d4e80230f00b8226107dd254c",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-10-09T06:36:49Z",
    "title_canon_sha256": "30d57807bfaaa51ccf66ee8081ccf1947dd7548d12102df7f12ec16268f3b81b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03830",
    "kind": "arxiv",
    "version": 2
  }
}