Pith Number

pith:C2GDBR3O

pith:2026:C2GDBR3OMWH23MJLIO5MX2BWPF

not attested not anchored not stored refs pending

On the sum of the two largest eigenvalues of the curl-curl operator on graphs

Jianfeng Wang, Lu Lu, Yueli Han

arxiv:2606.26512 v1 · 2026-06-25 · 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{C2GDBR3OMWH23MJLIO5MX2BWPF}

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	2026-06-26T01:15:33.143006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

168c30c76e658fadb12b43bacbe836795bfee4ba06c0ba6c67500f610e7c3a9d

Aliases

arxiv: 2606.26512 · arxiv_version: 2606.26512v1 · doi: 10.48550/arxiv.2606.26512 · pith_short_12: C2GDBR3OMWH2 · pith_short_16: C2GDBR3OMWH23MJL · pith_short_8: C2GDBR3O

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/C2GDBR3OMWH23MJLIO5MX2BWPF \
  | 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: 168c30c76e658fadb12b43bacbe836795bfee4ba06c0ba6c67500f610e7c3a9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36effdcbd7286717b1c42c761cb725c04683ce5f1a96e358144439c384eb1418",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-25T01:36:22Z",
    "title_canon_sha256": "dda5f3f3b71d74a82685b4b9d064d348c87e515c3faf6a6fcf264af52547f378"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26512",
    "kind": "arxiv",
    "version": 1
  }
}