Pith Number

pith:4ONYNSIM

pith:2017:4ONYNSIM7YVNINRSS6PFIUC6OP

not attested not anchored not stored refs pending

An Elementary Proof for Ljunggren Equation

Lihua Liu, Zhengjun Cao

arxiv:1705.03011 v3 · 2017-05-08 · 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{4ONYNSIM7YVNINRSS6PFIUC6OP}

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	2026-05-18T00:44:06.654556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e39b86c90cfe2ad43632979e54505e73c8467b16d59631402c7ce1665217e671

Aliases

arxiv: 1705.03011 · arxiv_version: 1705.03011v3 · doi: 10.48550/arxiv.1705.03011 · pith_short_12: 4ONYNSIM7YVN · pith_short_16: 4ONYNSIM7YVNINRS · pith_short_8: 4ONYNSIM

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/4ONYNSIM7YVNINRSS6PFIUC6OP \
  | 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: e39b86c90cfe2ad43632979e54505e73c8467b16d59631402c7ce1665217e671

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dcc044ca88072e8c8f0d32a69c1a3bdd940fd79554c8e3357c1467d54c4def5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-05-08T16:04:26Z",
    "title_canon_sha256": "7843e6ab819f121acb5e2b2abffd32f48c01d44c0c8073742763ff3f4f0f0b02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03011",
    "kind": "arxiv",
    "version": 3
  }
}