Pith Number

pith:HTAIVENR

pith:2026:HTAIVENRGYINFTAQL2ISAOUNEH

not attested not anchored not stored refs pending

Dirichlet--Neumann duality for the Basic Spectrum of Riemannian Submersions: A Supersymmetric Perspective

Paulo Henryque da Costa Silva, Vicent Gimeno i Garcia

arxiv:2606.12009 v1 · 2026-06-10 · math.DG · 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{HTAIVENRGYINFTAQL2ISAOUNEH}

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	2026-06-11T01:10:42.535293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cc08a91b13610d2cc105e91203a8d21c53622fa36d2b9a909c676f4940dcdb9

Aliases

arxiv: 2606.12009 · arxiv_version: 2606.12009v1 · doi: 10.48550/arxiv.2606.12009 · pith_short_12: HTAIVENRGYIN · pith_short_16: HTAIVENRGYINFTAQ · pith_short_8: HTAIVENR

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/HTAIVENRGYINFTAQL2ISAOUNEH \
  | 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: 3cc08a91b13610d2cc105e91203a8d21c53622fa36d2b9a909c676f4940dcdb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c14bea916aeecb8427bb27d67743787c7821a50a0f520f469177526bebd66d0",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-10T12:32:44Z",
    "title_canon_sha256": "24484d2d0e475e9b030ff0fa8a1a05eb87de306150e0bfaa634396193c7ec10a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12009",
    "kind": "arxiv",
    "version": 1
  }
}