Pith Number

pith:D5LF7VGT

pith:2017:D5LF7VGT2QD3KSJQHFOMCW6S5J

not attested not anchored not stored refs pending

A generalization of the Ramanujan-Nagell equation

Tomohiro Yamada

arxiv:1712.02199 v1 · 2017-12-06 · 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{D5LF7VGT2QD3KSJQHFOMCW6S5J}

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	2026-05-18T00:28:38.868985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f565fd4d3d407b54930395cc15bd2ea4a0b7937f0e8c69ecc73ad6dcfcb5445

Aliases

arxiv: 1712.02199 · arxiv_version: 1712.02199v1 · doi: 10.48550/arxiv.1712.02199 · pith_short_12: D5LF7VGT2QD3 · pith_short_16: D5LF7VGT2QD3KSJQ · pith_short_8: D5LF7VGT

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/D5LF7VGT2QD3KSJQHFOMCW6S5J \
  | 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: 1f565fd4d3d407b54930395cc15bd2ea4a0b7937f0e8c69ecc73ad6dcfcb5445

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ca635bfa95700c9d927022d791327556d7253bb6dcd43446da0e35be7f9cd27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-06T14:34:00Z",
    "title_canon_sha256": "bfc45af01a5e81fd0a8b2d5f7bfbd1d512241cb8ae9487f9c2e52c24bf2cf010"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02199",
    "kind": "arxiv",
    "version": 1
  }
}