Pith Number

pith:DZD6HKKA

pith:2015:DZD6HKKA7WCYHOL7T3LF5QFSKQ

not attested not anchored not stored refs pending

The Tate Conjecture for a family of surfaces of general type with p_g=q=1 and K^2=3

Christopher Lyons

arxiv:1508.01862 v1 · 2015-08-08 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DZD6HKKA7WCYHOL7T3LF5QFSKQ}

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	2026-05-18T01:35:37.731158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e47e3a940fd8583b97f9ed65ec0b25429ab730e56ae5c8c90ee218a1a2ddd62

Aliases

arxiv: 1508.01862 · arxiv_version: 1508.01862v1 · doi: 10.48550/arxiv.1508.01862 · pith_short_12: DZD6HKKA7WCY · pith_short_16: DZD6HKKA7WCYHOL7 · pith_short_8: DZD6HKKA

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/DZD6HKKA7WCYHOL7T3LF5QFSKQ \
  | 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: 1e47e3a940fd8583b97f9ed65ec0b25429ab730e56ae5c8c90ee218a1a2ddd62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e7d259434eb6db86355ca7f8b844593e01c068052aa389c546b8c7a84cee4ab",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-08T07:20:30Z",
    "title_canon_sha256": "c1e9a17c9a68c608fbe262f98b132d0ce32d2fb35a5e3be33609b5a84bbf394f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01862",
    "kind": "arxiv",
    "version": 1
  }
}