Pith Number

pith:NBXDC6KI

pith:2026:NBXDC6KIGTAC7SPGTG5EVREDJK

not attested not anchored not stored refs pending

Tensor Spectral Stability for Uniform Hypergraphs with Bounded Matching Number

Yi Xu, Yi-Zheng Fan

arxiv:2607.23560 v1 · 2026-07-26 · 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{NBXDC6KIGTAC7SPGTG5EVREDJK}

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	2026-07-28T01:22:59.401571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

686e31794834c02fc9e699ba4ac4834ab58997211e508f7e63a1a3289cdc402e

Aliases

arxiv: 2607.23560 · arxiv_version: 2607.23560v1 · doi: 10.48550/arxiv.2607.23560 · pith_short_12: NBXDC6KIGTAC · pith_short_16: NBXDC6KIGTAC7SPG · pith_short_8: NBXDC6KI

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/NBXDC6KIGTAC7SPGTG5EVREDJK \
  | 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: 686e31794834c02fc9e699ba4ac4834ab58997211e508f7e63a1a3289cdc402e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ebf4982d4325319e138b0bfd5aa887cbfcac830f2de9ee21cbebee941013800",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-26T09:23:23Z",
    "title_canon_sha256": "193b02a9aec1c2f0d716e75dc24065c4a9746dd9e1e035d1d5e91e4d62a8a3e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23560",
    "kind": "arxiv",
    "version": 1
  }
}