Pith. sign in
Pith Number

pith:7BHOKTQN

pith:2017:7BHOKTQN4UFO666PWVZ3KXJUMI
not attested not anchored not stored refs pending

Some universal quadratic sums over the integers

Hai-Liang Wu, Zhi-Wei Sun

arxiv:1707.06223 v6 · 2017-07-19 · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7BHOKTQN4UFO666PWVZ3KXJUMI}

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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 2026-07-05T00:32:46.380786Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f84ee54e0de50aef7bcfb573b55d346203c2a8db29e02593e7b48235b86c388c

Aliases

arxiv: 1707.06223 · arxiv_version: 1707.06223v6 · doi: 10.48550/arxiv.1707.06223 · pith_short_12: 7BHOKTQN4UFO · pith_short_16: 7BHOKTQN4UFO666P · pith_short_8: 7BHOKTQN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7BHOKTQN4UFO666PWVZ3KXJUMI \
  | 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: f84ee54e0de50aef7bcfb573b55d346203c2a8db29e02593e7b48235b86c388c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d6754f6830c229ce90834f5f17f791eb3378093779e14b6b56d5888e4a2ee037",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-19T17:59:22Z",
    "title_canon_sha256": "f102760a76dd7cdeedc25f45faea7883214d97692371336f0a39a43b641e14ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06223",
    "kind": "arxiv",
    "version": 6
  }
}