Pith Number

pith:DFR3LRZJ

pith:2009:DFR3LRZJOZQK7SPCUHW3MTXLVQ

not attested not anchored not stored refs pending

Three cubes in arithmetic progression over quadratic fields

Enrique Gonzalez-Jimenez

arxiv:0909.0227 v1 · 2009-09-01 · 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{DFR3LRZJOZQK7SPCUHW3MTXLVQ}

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	2026-05-18T02:37:45.091435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1963b5c7297660afc9e2a1edb64eebac3bfe37e7a291e0f65e813dc705cc02e2

Aliases

arxiv: 0909.0227 · arxiv_version: 0909.0227v1 · doi: 10.48550/arxiv.0909.0227 · pith_short_12: DFR3LRZJOZQK · pith_short_16: DFR3LRZJOZQK7SPC · pith_short_8: DFR3LRZJ

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/DFR3LRZJOZQK7SPCUHW3MTXLVQ \
  | 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: 1963b5c7297660afc9e2a1edb64eebac3bfe37e7a291e0f65e813dc705cc02e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff26ebe63953102b2259301c5b949bab07806fb06303320c30c69478531292d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-09-01T17:45:45Z",
    "title_canon_sha256": "2d110ef967eb58fc277cfbb8899c0ac8b29ddc50b5aff161d9518ec674cf3523"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0227",
    "kind": "arxiv",
    "version": 1
  }
}