Pith Number

pith:AKCL7KCX

pith:2010:AKCL7KCXJUM3YUIESROKTMSNDR

not attested not anchored not stored refs pending

Dirichlet eigenvalue sums on triangles are minimal for equilaterals

Bartlomiej Siudeja, Richard Laugesen

arxiv:1008.1316 v1 · 2010-08-07 · 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{AKCL7KCXJUM3YUIESROKTMSNDR}

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	2026-05-18T04:42:33.326862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0284bfa8574d19bc5104945ca9b24d1c5d6de4ce86c7e352b8deace07feb58d5

Aliases

arxiv: 1008.1316 · arxiv_version: 1008.1316v1 · doi: 10.48550/arxiv.1008.1316 · pith_short_12: AKCL7KCXJUM3 · pith_short_16: AKCL7KCXJUM3YUIE · pith_short_8: AKCL7KCX

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/AKCL7KCXJUM3YUIESROKTMSNDR \
  | 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: 0284bfa8574d19bc5104945ca9b24d1c5d6de4ce86c7e352b8deace07feb58d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19bea4fab400a4a8ad63f2e26a08ae6233612f65c046e9f12d26a24704072992",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-08-07T09:50:50Z",
    "title_canon_sha256": "91665482467e56d74b79557a0f3645c30fa4336fa2d91a4c4aad502cab8e43a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1316",
    "kind": "arxiv",
    "version": 1
  }
}