Pith Number

pith:HXGDVS5X

pith:2014:HXGDVS5XY6MEF7EQHI36HMWHB2

not attested not anchored not stored refs pending

Geometric-progression-free sets over quadratic number fields

Andrew Best, Jasmine Powell, Karen Huan, Kimsy Tor, Madeleine Weinstein, Nathan McNew, Steven J. Miller

arxiv:1412.0999 v2 · 2014-12-02 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HXGDVS5XY6MEF7EQHI36HMWHB2}

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	2026-05-18T01:26:58.135086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dcc3acbb7c79842fc903a37e3b2c70eab1df40bda8ea032b19add7025b0173c

Aliases

arxiv: 1412.0999 · arxiv_version: 1412.0999v2 · doi: 10.48550/arxiv.1412.0999 · pith_short_12: HXGDVS5XY6ME · pith_short_16: HXGDVS5XY6MEF7EQ · pith_short_8: HXGDVS5X

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/HXGDVS5XY6MEF7EQHI36HMWHB2 \
  | 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: 3dcc3acbb7c79842fc903a37e3b2c70eab1df40bda8ea032b19add7025b0173c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d06980c6e3b20c83ab09d9f158ec5de60fc6c35ddd79c706962f66bae212213",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-02T18:12:41Z",
    "title_canon_sha256": "62ec6ba723c40c7962f3fab8a58aa2f592b7d2f2c81f2cd38debb16b1942f83f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0999",
    "kind": "arxiv",
    "version": 2
  }
}