Pith Number

pith:FDYKCUFP

pith:2026:FDYKCUFPH33WUDESDTNA7IAVUL

not attested not anchored not stored refs pending

A proof of the $4,7$ cases of Sylvester's conjecture on cube sums

Hongbo Yin

arxiv:2605.25917 v1 · 2026-05-25 · 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{FDYKCUFPH33WUDESDTNA7IAVUL}

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	2026-05-26T02:05:18.227407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28f0a150af3ef76a0c921cda0fa015a2fd1d0a6eb0a68059a1e6465ae8ed50ce

Aliases

arxiv: 2605.25917 · arxiv_version: 2605.25917v1 · doi: 10.48550/arxiv.2605.25917 · pith_short_12: FDYKCUFPH33W · pith_short_16: FDYKCUFPH33WUDES · pith_short_8: FDYKCUFP

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/FDYKCUFPH33WUDESDTNA7IAVUL \
  | 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: 28f0a150af3ef76a0c921cda0fa015a2fd1d0a6eb0a68059a1e6465ae8ed50ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac97c0ac5da33845c4bde18778c08952d86f6f8931b2d280a7beb0b6fc14f6f5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-25T14:52:01Z",
    "title_canon_sha256": "2e48f1586ce653a777184aeca206b7cc90aa418c6a212f2c47bd436e39875c02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25917",
    "kind": "arxiv",
    "version": 1
  }
}