Pith Number

pith:3LQMX5PX

pith:2017:3LQMX5PXGFIAYJCWBH4FYOSZVV

not attested not anchored not stored refs pending

Lower Bounds for Heights in Relative Galois Extensions

Alia Hamieh, Kathleen Petersen, Kevser Akta\c{s}, Kirsti Biggs, Lola Thompson, Shabnam Akhtari

arxiv:1704.02995 v1 · 2017-04-10 · 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{3LQMX5PXGFIAYJCWBH4FYOSZVV}

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	2026-05-18T00:46:34.078565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dae0cbf5f731500c245609f85c3a59ad78b90b0557b439e61c4aa321523499c3

Aliases

arxiv: 1704.02995 · arxiv_version: 1704.02995v1 · doi: 10.48550/arxiv.1704.02995 · pith_short_12: 3LQMX5PXGFIA · pith_short_16: 3LQMX5PXGFIAYJCW · pith_short_8: 3LQMX5PX

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/3LQMX5PXGFIAYJCWBH4FYOSZVV \
  | 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: dae0cbf5f731500c245609f85c3a59ad78b90b0557b439e61c4aa321523499c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3cec6e58f99c2a4ccda8914fb3bc6d19d2dfca65c4c0c826a7faf2846af9810",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-10T18:03:41Z",
    "title_canon_sha256": "246ea75973bf2251871f13de570b54687ba8e38c16b7c1256f95c7c2d9a20033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02995",
    "kind": "arxiv",
    "version": 1
  }
}