Pith Number

pith:A4MYHPIL

pith:2020:A4MYHPIL3IJ252ZFST6DID2JXP

not attested not anchored not stored refs pending

On the solutions of certain Lebesgue-Ramanujan-Nagell equations

Azizul Hoque, Kalyan Chakraborty, Richa Sharma

arxiv:2011.01099 v3 · 2020-11-02 · 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{A4MYHPIL3IJ252ZFST6DID2JXP}

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	2026-07-05T02:44:51.532397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

071983bd0bda13aeeb2594fc340f49bbe5bdc8b60b24bdca61dec873fabe9acb

Aliases

arxiv: 2011.01099 · arxiv_version: 2011.01099v3 · doi: 10.48550/arxiv.2011.01099 · pith_short_12: A4MYHPIL3IJ2 · pith_short_16: A4MYHPIL3IJ252ZF · pith_short_8: A4MYHPIL

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/A4MYHPIL3IJ252ZFST6DID2JXP \
  | 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: 071983bd0bda13aeeb2594fc340f49bbe5bdc8b60b24bdca61dec873fabe9acb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b5504afc88595991b92e3bed12a557fc170e605e6082d4972575b688ed6860a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-11-02T16:33:13Z",
    "title_canon_sha256": "78995e8367a3da0a3a49b3b7b68a5b0f960149616e76b5713fd4abbd9c5d5d9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.01099",
    "kind": "arxiv",
    "version": 3
  }
}