Pith Number

pith:EOEF3ML2

pith:2026:EOEF3ML2C5K5XAMZ6CHW523G6S

not attested not anchored not stored refs pending

Sharp Bounds for Guiduli-Type Hereditary Spectral Problems

Dongxiu Cai, Jiasheng Zeng, Xiao-Dong Zhang

arxiv:2606.08913 v1 · 2026-06-08 · 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{EOEF3ML2C5K5XAMZ6CHW523G6S}

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	2026-06-09T02:07:46.932142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23885db17a1755db8199f08f6eeb66f493d86fde54f291365f44f8dbd33c4cab

Aliases

arxiv: 2606.08913 · arxiv_version: 2606.08913v1 · doi: 10.48550/arxiv.2606.08913 · pith_short_12: EOEF3ML2C5K5 · pith_short_16: EOEF3ML2C5K5XAMZ · pith_short_8: EOEF3ML2

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/EOEF3ML2C5K5XAMZ6CHW523G6S \
  | 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: 23885db17a1755db8199f08f6eeb66f493d86fde54f291365f44f8dbd33c4cab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "321a6c4e46863c155cb7bc839ee689cb2a9388c032d1b16d9d79edf6f48916b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-08T01:26:29Z",
    "title_canon_sha256": "947fad88db043a3a587b4587ce1e4e721de82a296825635a5bcb05758955164a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08913",
    "kind": "arxiv",
    "version": 1
  }
}