Pith Number

pith:VGUTMGYR

pith:2019:VGUTMGYR57PNUGHYFNCJVHD5CN

not attested not anchored not stored refs pending

Courant-sharp Robin eigenvalues for the square -- the case with small Robin parameter--

Bernard Helffer, Katie Gittins

arxiv:1903.10562 v1 · 2019-03-25 · 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{VGUTMGYR57PNUGHYFNCJVHD5CN}

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	2026-05-17T23:50:18.456456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9a9361b11efdeda18f82b449a9c7d134412c9a514906559a345bfa8de1a912e

Aliases

arxiv: 1903.10562 · arxiv_version: 1903.10562v1 · doi: 10.48550/arxiv.1903.10562 · pith_short_12: VGUTMGYR57PN · pith_short_16: VGUTMGYR57PNUGHY · pith_short_8: VGUTMGYR

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/VGUTMGYR57PNUGHYFNCJVHD5CN \
  | 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: a9a9361b11efdeda18f82b449a9c7d134412c9a514906559a345bfa8de1a912e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6de1b23c8cec045866b65f8a9a2759a6565f591a08203fb41a8578553f9d6c21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-03-25T19:32:44Z",
    "title_canon_sha256": "1069027a49167d38d9f377f672749fac19997570ccdaa6420b4a5fb606500606"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10562",
    "kind": "arxiv",
    "version": 1
  }
}