Pith Number

pith:RCZK2GTZ

pith:2018:RCZK2GTZZJVPURAGBEOIJ5IFF2

not attested not anchored not stored refs pending

Maximization of the second non-trivial Neumann eigenvalue

Antoine Henrot (EDP), Dorin Bucur (LAMA)

arxiv:1801.07435 v1 · 2018-01-23 · 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{RCZK2GTZZJVPURAGBEOIJ5IFF2}

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	2026-05-18T00:25:12.814283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88b2ad1a79ca6afa4406091c84f5052e90033814e6b705b0cb953ef6f3d0def1

Aliases

arxiv: 1801.07435 · arxiv_version: 1801.07435v1 · doi: 10.48550/arxiv.1801.07435 · pith_short_12: RCZK2GTZZJVP · pith_short_16: RCZK2GTZZJVPURAG · pith_short_8: RCZK2GTZ

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/RCZK2GTZZJVPURAGBEOIJ5IFF2 \
  | 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: 88b2ad1a79ca6afa4406091c84f5052e90033814e6b705b0cb953ef6f3d0def1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ffd29cd6c1dffdc9fff843c1c05df9728f9e668fd01832310f996f1183cdab8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-01-23T08:31:47Z",
    "title_canon_sha256": "29a217ac4ce81300c54f4e90a98b41cf6b91d1b3fa831cb7247bd1f07b187ed2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07435",
    "kind": "arxiv",
    "version": 1
  }
}