Pith Number

pith:3Z7EDSQI

pith:2008:3Z7EDSQINT5D64VJHXZSIXPQ3K

not attested not anchored not stored refs pending

A rank inequality for the Tate Conjecture over global function fields

Christopher Lyons

arxiv:0812.0094 v2 · 2008-11-30 · math.NT · 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{3Z7EDSQINT5D64VJHXZSIXPQ3K}

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	2026-05-18T01:35:38.602413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de7e41ca086cfa3f72a93df3245df0da97334689de93eb7303dc3e55dfb30149

Aliases

arxiv: 0812.0094 · arxiv_version: 0812.0094v2 · doi: 10.48550/arxiv.0812.0094 · pith_short_12: 3Z7EDSQINT5D · pith_short_16: 3Z7EDSQINT5D64VJ · pith_short_8: 3Z7EDSQI

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/3Z7EDSQINT5D64VJHXZSIXPQ3K \
  | 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: de7e41ca086cfa3f72a93df3245df0da97334689de93eb7303dc3e55dfb30149

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0747866ed5a9ea23eb04558ec645476cc5f394a0e7ce2df6b40907b4058e3a3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-11-30T02:59:30Z",
    "title_canon_sha256": "05c418005ee50f4a3545038599abc1d359740e6b81dabd31f45b4add4e91b916"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0094",
    "kind": "arxiv",
    "version": 2
  }
}