Pith Number

pith:6I3PM356

pith:2016:6I3PM356SKMTPH63VGKBL6VQ23

not attested not anchored not stored refs pending

New perturbation bounds for the spectrum of a normal matrix

Chen-Song Zhang, Xuefeng Xu

arxiv:1612.05759 v2 · 2016-12-17 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6I3PM356SKMTPH63VGKBL6VQ23}

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	2026-05-18T00:41:07.599366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f236f66fbe9299379fdba99415fab0d6fd7cca095e2631ef593dac537af0d651

Aliases

arxiv: 1612.05759 · arxiv_version: 1612.05759v2 · doi: 10.48550/arxiv.1612.05759 · pith_short_12: 6I3PM356SKMT · pith_short_16: 6I3PM356SKMTPH63 · pith_short_8: 6I3PM356

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/6I3PM356SKMTPH63VGKBL6VQ23 \
  | 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: f236f66fbe9299379fdba99415fab0d6fd7cca095e2631ef593dac537af0d651

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64b6dff3493a2af5615c5a94f04f960022b07ab5f291117df35528178990b3c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-12-17T13:41:54Z",
    "title_canon_sha256": "85143df90cf2f68c0d6500100ef0e76670fd4c1c56f1a11497a036e47b7f1439"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05759",
    "kind": "arxiv",
    "version": 2
  }
}