Pith Number

pith:23L567BX

pith:2026:23L567BXIGX5722AAIVX7F6XJI

not attested not anchored not stored refs pending

A Proof of the Dittert Conjecture in Dimension 4 via an Agent-Guided Exact Sum-of-Squares Certificate

Beibei Xiong, Jinhui Li, Zhengfeng Yang

arxiv:2607.29191 v1 · 2026-07-31 · cs.SC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{23L567BXIGX5722AAIVX7F6XJI}

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	2026-08-03T01:20:47.633912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6d7df7c3741afdfeb40022b7f97d74a04f080baf0001bc59503ec50310e4f0f

Aliases

arxiv: 2607.29191 · arxiv_version: 2607.29191v1 · doi: 10.48550/arxiv.2607.29191 · pith_short_12: 23L567BXIGX5 · pith_short_16: 23L567BXIGX5722A · pith_short_8: 23L567BX

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/23L567BXIGX5722AAIVX7F6XJI \
  | 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: d6d7df7c3741afdfeb40022b7f97d74a04f080baf0001bc59503ec50310e4f0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0914c7da064dab2c9facc1c6d64db7b18f1af1bfd4a2b04a2c7787d8fca735d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2026-07-31T09:12:45Z",
    "title_canon_sha256": "d29be65c76b863dbbb0849bb0e36341bc07739e794b6653f930b9b0e53b5c54f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29191",
    "kind": "arxiv",
    "version": 1
  }
}