Pith Number

pith:L4JXVKD2

pith:2014:L4JXVKD2CLP5NYK7UZBUBQLRPQ

not attested not anchored not stored refs pending

Proof of Schur's conjecture in $\mathbb R^d$

Alexandr Polyanskii, Andrey B. Kupavskii

arxiv:1402.3694 v4 · 2014-02-15 · math.MG · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L4JXVKD2CLP5NYK7UZBUBQLRPQ}

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	2026-05-18T00:29:15.978329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f137aa87a12dfd6e15fa64340c1717c0a7be53cee27f9e747f485b12b75defe

Aliases

arxiv: 1402.3694 · arxiv_version: 1402.3694v4 · doi: 10.48550/arxiv.1402.3694 · pith_short_12: L4JXVKD2CLP5 · pith_short_16: L4JXVKD2CLP5NYK7 · pith_short_8: L4JXVKD2

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/L4JXVKD2CLP5NYK7UZBUBQLRPQ \
  | 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: 5f137aa87a12dfd6e15fa64340c1717c0a7be53cee27f9e747f485b12b75defe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4921ed5cd5773480bf4953459d2267fe7e03de8d7019c355edb84325ccfda7d",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-02-15T14:19:27Z",
    "title_canon_sha256": "b3d1edac14b03a2e78c6a2aac26e92a10bb74a4ca4748741cff14ddc29803d51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3694",
    "kind": "arxiv",
    "version": 4
  }
}