Pith Number

pith:ZENRL4F6

pith:2014:ZENRL4F6Y7ZFWJBH37V2UXY3QY

not attested not anchored not stored refs pending

Some experiments with Ramanujan-Nagell type Diophantine equations

Maciej Ulas

arxiv:1409.8132 v1 · 2014-09-29 · 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{ZENRL4F6Y7ZFWJBH37V2UXY3QY}

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	2026-05-18T02:41:33.656178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c91b15f0bec7f25b2427dfebaa5f1b8618fe42c4556daa185c75daa362b8e747

Aliases

arxiv: 1409.8132 · arxiv_version: 1409.8132v1 · doi: 10.48550/arxiv.1409.8132 · pith_short_12: ZENRL4F6Y7ZF · pith_short_16: ZENRL4F6Y7ZFWJBH · pith_short_8: ZENRL4F6

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/ZENRL4F6Y7ZFWJBH37V2UXY3QY \
  | 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: c91b15f0bec7f25b2427dfebaa5f1b8618fe42c4556daa185c75daa362b8e747

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acaed10d0c33feb51e09d09110718cc24ca639106fd28ebeabbeb2ba0f5c8491",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-29T14:24:48Z",
    "title_canon_sha256": "c883d19b2b3b57e9e9df582089c82f73c541fbd278b6ed07fb4d3e0ad7392e38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8132",
    "kind": "arxiv",
    "version": 1
  }
}