Pith Number

pith:GTUNQ4KT

pith:2018:GTUNQ4KTAB2JDMBSNWWF4EOTMC

not attested not anchored not stored refs pending

Quadratic Points on Modular Curves

Ekin Ozman, Samir Siksek

arxiv:1806.08192 v3 · 2018-06-21 · 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{GTUNQ4KTAB2JDMBSNWWF4EOTMC}

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	2026-05-18T00:08:02.703459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34e8d87153007491b0326dac5e11d360a432336d682a4356a72c22efdbf7db6c

Aliases

arxiv: 1806.08192 · arxiv_version: 1806.08192v3 · doi: 10.48550/arxiv.1806.08192 · pith_short_12: GTUNQ4KTAB2J · pith_short_16: GTUNQ4KTAB2JDMBS · pith_short_8: GTUNQ4KT

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/GTUNQ4KTAB2JDMBSNWWF4EOTMC \
  | 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: 34e8d87153007491b0326dac5e11d360a432336d682a4356a72c22efdbf7db6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56b6cb869d6d015d36bbcc2d4d3633fb805882b64a74b128264d9e106f1454f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-21T12:13:34Z",
    "title_canon_sha256": "6a94113845032b31fb9ff669139965141148727fccdf8cd99a266593c9bdf831"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08192",
    "kind": "arxiv",
    "version": 3
  }
}