Pith Number

pith:UPCIKILV

pith:2025:UPCIKILVJOVYUNHYFN4YTXXREG

not attested not anchored not stored refs pending

Two Distinct Eigenvalues from a New Graph Product

Eric Culver, Mark Kempton

arxiv:2501.04297 v1 · 2025-01-08 · 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{UPCIKILVJOVYUNHYFN4YTXXREG}

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	2026-07-05T09:58:32.959553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3c48521754bab8a34f82b7989def121bf4eed7cb73d00a677dfe308f41ce35e

Aliases

arxiv: 2501.04297 · arxiv_version: 2501.04297v1 · doi: 10.48550/arxiv.2501.04297 · pith_short_12: UPCIKILVJOVY · pith_short_16: UPCIKILVJOVYUNHY · pith_short_8: UPCIKILV

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/UPCIKILVJOVYUNHYFN4YTXXREG \
  | 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: a3c48521754bab8a34f82b7989def121bf4eed7cb73d00a677dfe308f41ce35e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b02bed621cf82fc4e471a348e872465249f88efb1967dfc24b553bf9f7811dee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-08T05:50:30Z",
    "title_canon_sha256": "bb809cb59d70b8a726ad41fb3f9408cdc7db177ddee22c85a25bcbcd8a65ff4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04297",
    "kind": "arxiv",
    "version": 1
  }
}