Pith Number

pith:UDMGZDQK

pith:2016:UDMGZDQK6NQ2NJNBMF372IOORY

not attested not anchored not stored refs pending

Eigenvalue bounds for the magnetic Laplacian

Alessandro Savo, Bruno Colbois

arxiv:1611.01930 v1 · 2016-11-07 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UDMGZDQK6NQ2NJNBMF372IOORY}

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	2026-05-18T01:00:04.149594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0d86c8e0af361a6a5a16177fd21ce8e2e73323b55feb80bdf5b1e76445aa7e6

Aliases

arxiv: 1611.01930 · arxiv_version: 1611.01930v1 · doi: 10.48550/arxiv.1611.01930 · pith_short_12: UDMGZDQK6NQ2 · pith_short_16: UDMGZDQK6NQ2NJNB · pith_short_8: UDMGZDQK

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/UDMGZDQK6NQ2NJNBMF372IOORY \
  | 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: a0d86c8e0af361a6a5a16177fd21ce8e2e73323b55feb80bdf5b1e76445aa7e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d2d0fc7ad7157185124194c2e3eb8a1f39be2c5d8b3660db38edf2277fdf37c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-11-07T08:13:10Z",
    "title_canon_sha256": "8f8def41b7617b5c202e4b7e6c879dd9ef4e2a7ea0a8e3eb9e7a6deedef3d246"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01930",
    "kind": "arxiv",
    "version": 1
  }
}