Pith Number

pith:BQJAT556

pith:2017:BQJAT556F3CVPEM6V2GEFCQ2ZD

not attested not anchored not stored refs pending

Eigenvalue bounds of the Robin Laplacian with magnetic field

Ayman Kachmar, Georges Habib

arxiv:1707.07939 v2 · 2017-07-25 · 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{BQJAT556F3CVPEM6V2GEFCQ2ZD}

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	2026-05-18T00:26:16.267530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c1209f7be2ec557919eae8c428a1ac8d9e7b12a900dd1c79866d1351f38afc5

Aliases

arxiv: 1707.07939 · arxiv_version: 1707.07939v2 · doi: 10.48550/arxiv.1707.07939 · pith_short_12: BQJAT556F3CV · pith_short_16: BQJAT556F3CVPEM6 · pith_short_8: BQJAT556

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/BQJAT556F3CVPEM6V2GEFCQ2ZD \
  | 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: 0c1209f7be2ec557919eae8c428a1ac8d9e7b12a900dd1c79866d1351f38afc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85f39c81644713a7f87f5951d2f93538bd44eba608499a0014fa13f5a4e2b4cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-07-25T12:06:46Z",
    "title_canon_sha256": "9384197a64e093b5ee41db1266556faaa95a101df6388033c6219489a2783be0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07939",
    "kind": "arxiv",
    "version": 2
  }
}