Pith Number

pith:RPDTRY4L

pith:2016:RPDTRY4L2QNMZZCXMTZE3T7IM3

not attested not anchored not stored refs pending

A proof of Khavinson's conjecture in $\mathbf{R}^4$

David Kalaj

arxiv:1601.03347 v1 · 2016-01-13 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RPDTRY4L2QNMZZCXMTZE3T7IM3}

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	2026-05-18T01:22:54.724929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bc738e38bd41acce45764f24dcfe866c525456b1ae2207dce74cd0724fea17d

Aliases

arxiv: 1601.03347 · arxiv_version: 1601.03347v1 · doi: 10.48550/arxiv.1601.03347 · pith_short_12: RPDTRY4L2QNM · pith_short_16: RPDTRY4L2QNMZZCX · pith_short_8: RPDTRY4L

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/RPDTRY4L2QNMZZCXMTZE3T7IM3 \
  | 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: 8bc738e38bd41acce45764f24dcfe866c525456b1ae2207dce74cd0724fea17d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97116f76d85525b1d6f917658cce5af8b96474641cab5754ec4737a7eef904ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-01-13T18:57:51Z",
    "title_canon_sha256": "2595bb9f5b364862ffe76bd8da8755b0e9072432216e807a2321e7bcb7bea655"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03347",
    "kind": "arxiv",
    "version": 1
  }
}