Pith Number

pith:GHFR5ISN

pith:2017:GHFR5ISNXDZIONK3VLY2L7ZIZP

not attested not anchored not stored refs pending

Arithmetic functions commutable with sums of squares

Jungin Lee

arxiv:1704.03511 v1 · 2017-04-06 · 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{GHFR5ISNXDZIONK3VLY2L7ZIZP}

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	2026-05-18T00:46:28.673699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31cb1ea24db8f287355baaf1a5ff28cbec6b5b9c796dfc5c278024b1111d4b87

Aliases

arxiv: 1704.03511 · arxiv_version: 1704.03511v1 · doi: 10.48550/arxiv.1704.03511 · pith_short_12: GHFR5ISNXDZI · pith_short_16: GHFR5ISNXDZIONK3 · pith_short_8: GHFR5ISN

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/GHFR5ISNXDZIONK3VLY2L7ZIZP \
  | 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: 31cb1ea24db8f287355baaf1a5ff28cbec6b5b9c796dfc5c278024b1111d4b87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af1d70d426d72af2517b124dd7e1fd509f78ba362c8385678471cd718cb494c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-06T16:42:59Z",
    "title_canon_sha256": "847973f88d730c8f4ddb9f40a2e8844806736f43822c6940c4526abaf459c9a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.03511",
    "kind": "arxiv",
    "version": 1
  }
}