Pith Number

pith:WOQ3GDA7

pith:2018:WOQ3GDA7YUKTEP6ZK3P3RVSEE7

not attested not anchored not stored refs pending

Arithmetic progressions represented by diagonal ternary quadratic forms

Hai-Liang Wu, Zhi-Wei Sun

arxiv:1811.05855 v2 · 2018-11-14 · 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{WOQ3GDA7YUKTEP6ZK3P3RVSEE7}

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.

Cited by

1 paper in Pith

Every Nonnegative Integer Is a Sum of a Triangular, a Pentagonal, and a Heptagonal Number

Receipt and verification

First computed	2026-07-05T07:32:14.017619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3a1b30c1fc515323fd956dfb8d64427f9bbee21f01535fee30292ba194299d1

Aliases

arxiv: 1811.05855 · arxiv_version: 1811.05855v2 · doi: 10.48550/arxiv.1811.05855 · pith_short_12: WOQ3GDA7YUKT · pith_short_16: WOQ3GDA7YUKTEP6Z · pith_short_8: WOQ3GDA7

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/WOQ3GDA7YUKTEP6ZK3P3RVSEE7 \
  | 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: b3a1b30c1fc515323fd956dfb8d64427f9bbee21f01535fee30292ba194299d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd8b609d0676037dd096692a3795ff72a17c9a31fe4170eb4af86eabc9c37841",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-11-14T15:39:12Z",
    "title_canon_sha256": "0047895e922fc466cf0cbe05690d2d8e5a90565ee3f8d441b81e5f8103dbac0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.05855",
    "kind": "arxiv",
    "version": 2
  }
}