Pith Number

pith:OAANTVUH

pith:2026:OAANTVUHWNXOLHRHBTTRT3H3Z3

not attested not anchored not stored refs pending

The Exact Maximum of the Spectral Sum of Graphs

Jing Huang, Wei Wei

arxiv:2607.23081 v1 · 2026-07-25 · 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{OAANTVUHWNXOLHRHBTTRT3H3Z3}

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	2026-07-28T01:22:05.639838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7000d9d687b36ee59e270ce719ecfbceef4032e32db9c9d62fe1625f6d849ed7

Aliases

arxiv: 2607.23081 · arxiv_version: 2607.23081v1 · doi: 10.48550/arxiv.2607.23081 · pith_short_12: OAANTVUHWNXO · pith_short_16: OAANTVUHWNXOLHRH · pith_short_8: OAANTVUH

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/OAANTVUHWNXOLHRHBTTRT3H3Z3 \
  | 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: 7000d9d687b36ee59e270ce719ecfbceef4032e32db9c9d62fe1625f6d849ed7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0911737751a775b9fd18f7eaa8a62c9a54c105b1502bfecb0a02c8817926ca41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-25T07:04:24Z",
    "title_canon_sha256": "57a383cfc3d2d6692ae66e4bddd309c82654fa2840dfe7bf52c6ab0d6c010baa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23081",
    "kind": "arxiv",
    "version": 1
  }
}