Pith Number

pith:KEFUCXEA

pith:2018:KEFUCXEAK643XHH7SKMWM5JO4Q

not attested not anchored not stored refs pending

On sums and products in a field

Guang-Liang Zhou, Zhi-Wei Sun

arxiv:1807.01181 v1 · 2018-07-02 · 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{KEFUCXEAK643XHH7SKMWM5JO4Q}

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	2026-05-18T00:11:44.999552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

510b415c8057b9bb9cff929966752ee40a4341bdc497cc86db42cd4a8778c268

Aliases

arxiv: 1807.01181 · arxiv_version: 1807.01181v1 · doi: 10.48550/arxiv.1807.01181 · pith_short_12: KEFUCXEAK643 · pith_short_16: KEFUCXEAK643XHH7 · pith_short_8: KEFUCXEA

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/KEFUCXEAK643XHH7SKMWM5JO4Q \
  | 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: 510b415c8057b9bb9cff929966752ee40a4341bdc497cc86db42cd4a8778c268

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16f8ff434b41cb020f24d62f5a924bbbb17cf8ee34f932f2624bc1eade2fd883",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-02T15:36:05Z",
    "title_canon_sha256": "8ca44d1edc725d44e8244d799eab789b20634ebbbddb8881882c4019e87b77b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01181",
    "kind": "arxiv",
    "version": 1
  }
}