Pith Number

pith:AE2J5IFX

pith:2016:AE2J5IFXZKI2SGADJHPXWH2FKC

not attested not anchored not stored refs pending

On the extension of $D(-8k^2)$-pair $\{8k^2, 8k^2+1\}$

Alan Filipin, Nikola Ad\v{z}aga

arxiv:1610.04415 v1 · 2016-10-14 · 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{AE2J5IFXZKI2SGADJHPXWH2FKC}

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	2026-05-18T00:39:18.212009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01349ea0b7ca91a9180349df7b1f4550b5720afd92b98de186f69e8d26911543

Aliases

arxiv: 1610.04415 · arxiv_version: 1610.04415v1 · doi: 10.48550/arxiv.1610.04415 · pith_short_12: AE2J5IFXZKI2 · pith_short_16: AE2J5IFXZKI2SGAD · pith_short_8: AE2J5IFX

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/AE2J5IFXZKI2SGADJHPXWH2FKC \
  | 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: 01349ea0b7ca91a9180349df7b1f4550b5720afd92b98de186f69e8d26911543

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b11715b25a0913385cb76728ec5d521a255b78f64a266c63286a44006e728bc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-14T11:52:02Z",
    "title_canon_sha256": "77fbbe03bf3b700abeadd7d5c8b57913f89cd347052f7bed184666bf9869305e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04415",
    "kind": "arxiv",
    "version": 1
  }
}