Pith Number

pith:MW5KY2TP

pith:2014:MW5KY2TPZZUBARG4SN7UPKKXIC

not attested not anchored not stored refs pending

Conjectured bounds for the sum of squares of positive eigenvalues of a graph

Clive Elphick, Felix Goldberg, Miriam Farber, Pawel Wocjan

arxiv:1409.2079 v2 · 2014-09-07 · 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{MW5KY2TPZZUBARG4SN7UPKKXIC}

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	2026-05-18T01:32:43.728208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65baac6a6fce681044dc937f47a95740a61191bf352ed7f5955b288bc61ddbac

Aliases

arxiv: 1409.2079 · arxiv_version: 1409.2079v2 · doi: 10.48550/arxiv.1409.2079 · pith_short_12: MW5KY2TPZZUB · pith_short_16: MW5KY2TPZZUBARG4 · pith_short_8: MW5KY2TP

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/MW5KY2TPZZUBARG4SN7UPKKXIC \
  | 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: 65baac6a6fce681044dc937f47a95740a61191bf352ed7f5955b288bc61ddbac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75f34ffb687cae69606a5c97f668ca15eb6ffdec4e7d2f0fa1bc62f0eda4a614",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-07T03:52:28Z",
    "title_canon_sha256": "6947aa762d64967a468c3caec238da37314b4d7807529832edbc7a691886b594"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2079",
    "kind": "arxiv",
    "version": 2
  }
}