Pith Number

pith:EDRUM6KV

pith:2009:EDRUM6KVX6FGNSPM3PLDQ6KMN2

not attested not anchored not stored refs pending

Five squares in arithmetic progression over quadratic fields

Enrique Gonz\'alez-Jim\'enez, Xavier Xarles

arxiv:0909.1663 v4 · 2009-09-09 · 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{EDRUM6KVX6FGNSPM3PLDQ6KMN2}

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	2026-05-18T02:37:45.076050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20e3467955bf8a66c9ecdbd638794c6e9d92590b8636d9dee79b69001934435c

Aliases

arxiv: 0909.1663 · arxiv_version: 0909.1663v4 · doi: 10.48550/arxiv.0909.1663 · pith_short_12: EDRUM6KVX6FG · pith_short_16: EDRUM6KVX6FGNSPM · pith_short_8: EDRUM6KV

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/EDRUM6KVX6FGNSPM3PLDQ6KMN2 \
  | 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: 20e3467955bf8a66c9ecdbd638794c6e9d92590b8636d9dee79b69001934435c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5588673d25a1e890a6e6771c422fab4e7f25c9d388f313b61c9dd15f3e7abfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-09-09T09:59:59Z",
    "title_canon_sha256": "b390fb372f48bb3d4d1fb453cbdc7b7941586900bc41ef78a49717464ffabfbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1663",
    "kind": "arxiv",
    "version": 4
  }
}