Pith Number

pith:T46KHWTU

pith:2016:T46KHWTUFOC7OVVVIAC34BR27H

not attested not anchored not stored refs pending

The existence of the graphs that have exactly two main eigenvalues

Lin Chen, Qiongxiang Huang

arxiv:1609.05347 v1 · 2016-09-17 · 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{T46KHWTUFOC7OVVVIAC34BR27H}

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	2026-05-18T01:04:26.666955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f3ca3da742b85f756b54005be063af9ec0320bed6a1d57e538ed17415e93cd9

Aliases

arxiv: 1609.05347 · arxiv_version: 1609.05347v1 · doi: 10.48550/arxiv.1609.05347 · pith_short_12: T46KHWTUFOC7 · pith_short_16: T46KHWTUFOC7OVVV · pith_short_8: T46KHWTU

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/T46KHWTUFOC7OVVVIAC34BR27H \
  | 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: 9f3ca3da742b85f756b54005be063af9ec0320bed6a1d57e538ed17415e93cd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b20dabd9139559060632c7986a03bd28a643f267dccca0a137e9b818cb27bc9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-17T14:58:38Z",
    "title_canon_sha256": "09b3d078600a245325df9b46748837f677667180509e5668bc361e531a9be4a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05347",
    "kind": "arxiv",
    "version": 1
  }
}