Pith Number

pith:K5BODT3Q

pith:2019:K5BODT3QT4ASQ2LGYXRP24GLNY

not attested not anchored not stored refs pending

Transversality of sections on elliptic surfaces with applications to elliptic divisibility sequences and geography of surfaces

Douglas Ulmer, Giancarlo Urz\'ua

arxiv:1908.02208 v4 · 2019-08-06 · 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{K5BODT3QT4ASQ2LGYXRP24GLNY}

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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.

Cited by

1 paper in Pith

On the torsion values for sections of an elliptic scheme

Receipt and verification

First computed	2026-07-05T01:44:08.105489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5742e1cf709f01286966c5e2fd70cb6e236e2919bf749c7aa4a2d7a7c71ceeec

Aliases

arxiv: 1908.02208 · arxiv_version: 1908.02208v4 · doi: 10.48550/arxiv.1908.02208 · pith_short_12: K5BODT3QT4AS · pith_short_16: K5BODT3QT4ASQ2LG · pith_short_8: K5BODT3Q

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/K5BODT3QT4ASQ2LGYXRP24GLNY \
  | 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: 5742e1cf709f01286966c5e2fd70cb6e236e2919bf749c7aa4a2d7a7c71ceeec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75ae7242a1c78703efc878c15e5ee8b912985568cb52aa5eace480b1bc40e148",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-06T15:18:23Z",
    "title_canon_sha256": "adcd34960263de9b440cb185eb4f152163203e7f7ab3383478526ea38db1b304"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02208",
    "kind": "arxiv",
    "version": 4
  }
}