Pith Number

pith:O4OAKL55

pith:2016:O4OAKL55EYCWV6DVPOOBI4ZPR2

not attested not anchored not stored refs pending

How many matrices can be spectrally balanced simultaneously?

Fedor Nazarov, Ronen Eldan, Yuval Peres

arxiv:1606.01680 v1 · 2016-06-06 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4OAKL55EYCWV6DVPOOBI4ZPR2}

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	2026-05-18T01:12:53.796691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

771c052fbd26056af8757b9c14732f8ea440cccfa7d1ebb7a0ab3211a82b7904

Aliases

arxiv: 1606.01680 · arxiv_version: 1606.01680v1 · doi: 10.48550/arxiv.1606.01680 · pith_short_12: O4OAKL55EYCW · pith_short_16: O4OAKL55EYCWV6DV · pith_short_8: O4OAKL55

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/O4OAKL55EYCWV6DVPOOBI4ZPR2 \
  | 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: 771c052fbd26056af8757b9c14732f8ea440cccfa7d1ebb7a0ab3211a82b7904

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80e7a32c41dcfd43d93e38ef8315305481fe736c8933f93f74aa57b3c27a79c8",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-06-06T10:23:29Z",
    "title_canon_sha256": "70e68ccd881e665a727fb222618598c7e8dc8e64d248faf034f07b275c9487c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01680",
    "kind": "arxiv",
    "version": 1
  }
}