Pith Number

pith:ROKAY57P

pith:2026:ROKAY57PWVFDZI3JFBINZTJQ4R

not attested not anchored not stored refs pending

Localization of spectral Tur\'an theorems for signed graphs

Linfeng Xie, Xiaogang Liu

arxiv:2606.04963 v1 · 2026-06-03 · 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{ROKAY57PWVFDZI3JFBINZTJQ4R}

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	2026-06-04T01:09:58.331932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b940c77efb54a3ca3692850dccd30e443c15cd0dd6cee95cc1ce1ef44888b29

Aliases

arxiv: 2606.04963 · arxiv_version: 2606.04963v1 · doi: 10.48550/arxiv.2606.04963 · pith_short_12: ROKAY57PWVFD · pith_short_16: ROKAY57PWVFDZI3J · pith_short_8: ROKAY57P

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/ROKAY57PWVFDZI3JFBINZTJQ4R \
  | 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: 8b940c77efb54a3ca3692850dccd30e443c15cd0dd6cee95cc1ce1ef44888b29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20bedcf4eead31ee654781efb78b1f93eb806fa44ddff457ad3db981319ba52b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-03T14:47:11Z",
    "title_canon_sha256": "ae36337fff03cff57063b7285a5ac27c91652f862c00e44aae3e15d31ea0a217"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04963",
    "kind": "arxiv",
    "version": 1
  }
}