Pith Number

pith:3NGRQVYT

pith:2026:3NGRQVYT67AXPQE5I3MI42UZM7

not attested not anchored not stored refs pending

Ten Digits on a Train: AI-Assisted Verification of Two Eigenvalue Problems

Matthew J. Colbrook

arxiv:2606.23821 v1 · 2026-06-22 · math.NA · cs.AI · cs.HC · cs.NA · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3NGRQVYT67AXPQE5I3MI42UZM7}

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	2026-06-24T00:14:27.866017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db4d185713f7c177c09d46d88e6a9967e935159a11c2393db123e74d6383e1d4

Aliases

arxiv: 2606.23821 · arxiv_version: 2606.23821v1 · doi: 10.48550/arxiv.2606.23821 · pith_short_12: 3NGRQVYT67AX · pith_short_16: 3NGRQVYT67AXPQE5 · pith_short_8: 3NGRQVYT

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/3NGRQVYT67AXPQE5I3MI42UZM7 \
  | 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: db4d185713f7c177c09d46d88e6a9967e935159a11c2393db123e74d6383e1d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a8923be9eef95e6daf8f2073b4dcfdb3c1956eae4bafa1f337de8a5f8a6530d",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.HC",
      "cs.NA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-22T18:03:59Z",
    "title_canon_sha256": "5bf14167a91630b97348030a6c5cebb11cf1b137839d6aa1d75590aafc4394dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23821",
    "kind": "arxiv",
    "version": 1
  }
}