Pith Number

pith:D2XSS7ZO

pith:2013:D2XSS7ZOGK35F5XQ7QKFF7OYG7

not attested not anchored not stored refs pending

On arithmetic progressions on Edwards curves

Enrique Gonzalez-Jimenez

arxiv:1304.4361 v2 · 2013-04-16 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D2XSS7ZOGK35F5XQ7QKFF7OYG7}

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	2026-05-18T02:19:26.299997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1eaf297f2e32b7d2f6f0fc1452fdd837d354a49e841306938661eeef63cc23fd

Aliases

arxiv: 1304.4361 · arxiv_version: 1304.4361v2 · doi: 10.48550/arxiv.1304.4361 · pith_short_12: D2XSS7ZOGK35 · pith_short_16: D2XSS7ZOGK35F5XQ · pith_short_8: D2XSS7ZO

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/D2XSS7ZOGK35F5XQ7QKFF7OYG7 \
  | 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: 1eaf297f2e32b7d2f6f0fc1452fdd837d354a49e841306938661eeef63cc23fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c832cb465a9c92b8aec9185d10d77bcd54756313c1919f9e1e2626bef859483",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-16T08:34:58Z",
    "title_canon_sha256": "c865d6893f470d8a5223530a07b1e12b3cc88e578e7dea8eed89b72b48a70b8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4361",
    "kind": "arxiv",
    "version": 2
  }
}