Pith Number

pith:K65GQ2ET

pith:2016:K65GQ2ETYVDCIM6FQ6ORVWMM2V

not attested not anchored not stored refs pending

Short note on energy maximization property of the first eigenfunction of the Laplacian

Hayk Mikayelyan

arxiv:1609.01749 v1 · 2016-09-05 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K65GQ2ETYVDCIM6FQ6ORVWMM2V}

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	2026-05-18T01:05:10.175137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57ba686893c5462433c5879d1ad98cd56524fd0290d31e52b835dfc479c34bca

Aliases

arxiv: 1609.01749 · arxiv_version: 1609.01749v1 · doi: 10.48550/arxiv.1609.01749 · pith_short_12: K65GQ2ETYVDC · pith_short_16: K65GQ2ETYVDCIM6F · pith_short_8: K65GQ2ET

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/K65GQ2ETYVDCIM6FQ6ORVWMM2V \
  | 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: 57ba686893c5462433c5879d1ad98cd56524fd0290d31e52b835dfc479c34bca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c66e432b1723d9bf84531583e926d008e2fafee8b2d2c306c0f4c9ac687ce4c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-05T10:29:12Z",
    "title_canon_sha256": "128e1de11fe14ac22b1b4c2b113567924f6ff093a2bd3a7bdfca57111a075864"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01749",
    "kind": "arxiv",
    "version": 1
  }
}