Pith Number

pith:HKZYYKMP

pith:2025:HKZYYKMPSFJ6IJGW37WBFYBLOD

not attested not anchored not stored refs pending

Cross representations of additive complements of $r$-th powers

Csaba S\'andor, Yuchen Ding, Zihan Zhang

arxiv:2512.15407 v5 · 2025-12-17 · 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{HKZYYKMPSFJ6IJGW37WBFYBLOD}

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	2026-05-20T00:05:39.240294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ab38c298f9153e424d6dfec12e02b70e77ff7c092a9865df010dc42d0d45225

Aliases

arxiv: 2512.15407 · arxiv_version: 2512.15407v5 · doi: 10.48550/arxiv.2512.15407 · pith_short_12: HKZYYKMPSFJ6 · pith_short_16: HKZYYKMPSFJ6IJGW · pith_short_8: HKZYYKMP

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/HKZYYKMPSFJ6IJGW37WBFYBLOD \
  | 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: 3ab38c298f9153e424d6dfec12e02b70e77ff7c092a9865df010dc42d0d45225

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "427b6bc1c8ec525a4fe4137a350e67bbfad0f0dbbf437905d597907577651d9d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-12-17T12:57:36Z",
    "title_canon_sha256": "f89b2f86b074d99ecaec5872e84e124485b512a008741c447ec2ebbf199b1d80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.15407",
    "kind": "arxiv",
    "version": 5
  }
}