Pith Number

pith:PVJLEJLA

pith:2013:PVJLEJLAAV4SFKYTKUDFDNW4O2

not attested not anchored not stored refs pending

On sums of graph eigenvalues

Evans M. Harell II, Joachim Stubbe

arxiv:1308.5340 v1 · 2013-08-24 · 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{PVJLEJLAAV4SFKYTKUDFDNW4O2}

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	2026-05-18T03:15:05.038459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d52b22560057922ab13550651b6dc769d4d9883e4dac34fa8bc60265f30f1fd

Aliases

arxiv: 1308.5340 · arxiv_version: 1308.5340v1 · doi: 10.48550/arxiv.1308.5340 · pith_short_12: PVJLEJLAAV4S · pith_short_16: PVJLEJLAAV4SFKYT · pith_short_8: PVJLEJLA

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/PVJLEJLAAV4SFKYTKUDFDNW4O2 \
  | 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: 7d52b22560057922ab13550651b6dc769d4d9883e4dac34fa8bc60265f30f1fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f4fa1cd6619a5faee0c7fe463fdc0dd4cbe9a2fe1636823a07a2e10cb7ff921",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-08-24T14:47:41Z",
    "title_canon_sha256": "e0073bc124f0a5c5f24a966995b593a9389afca99d0f84b5d7b15f377c36a54b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5340",
    "kind": "arxiv",
    "version": 1
  }
}