Pith Number

pith:G3XRIVO6

pith:2017:G3XRIVO6SAVZE5HJKI47HFBC4V

not attested not anchored not stored refs pending

The density of the terms in an elliptic divisibility sequence having a fixed G.C.D. with their index

Seoyoung Kim

arxiv:1708.08357 v1 · 2017-08-28 · 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{G3XRIVO6SAVZE5HJKI47HFBC4V}

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	2026-05-18T00:36:36.297527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36ef1455de902b9274e95239f39422e57143505d331325eb74b4c471c0de2018

Aliases

arxiv: 1708.08357 · arxiv_version: 1708.08357v1 · doi: 10.48550/arxiv.1708.08357 · pith_short_12: G3XRIVO6SAVZ · pith_short_16: G3XRIVO6SAVZE5HJ · pith_short_8: G3XRIVO6

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/G3XRIVO6SAVZE5HJKI47HFBC4V \
  | 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: 36ef1455de902b9274e95239f39422e57143505d331325eb74b4c471c0de2018

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "049e8ba25865e7c572b109244284039dd13950c4059eece1d5bcef3d23a44495",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-28T14:57:41Z",
    "title_canon_sha256": "50c2b5517ec8ad96f9993e8410d52ce56900e0ec5ca7498fdb4520da602d4c69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08357",
    "kind": "arxiv",
    "version": 1
  }
}