Pith Number

pith:NZ5CDMXH

pith:2017:NZ5CDMXHB3HP7CTBPLMKR7CH3P

not attested not anchored not stored refs pending

Eigenvalues of elliptic operators with density

Bruno Colbois, Luigi Provenzano

arxiv:1706.00243 v1 · 2017-06-01 · 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{NZ5CDMXHB3HP7CTBPLMKR7CH3P}

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	2026-05-18T00:43:14.628188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e7a21b2e70eceff8a617ad8a8fc47dbebcc1e3ee85f80f540c00dd7c7e80a97

Aliases

arxiv: 1706.00243 · arxiv_version: 1706.00243v1 · doi: 10.48550/arxiv.1706.00243 · pith_short_12: NZ5CDMXHB3HP · pith_short_16: NZ5CDMXHB3HP7CTB · pith_short_8: NZ5CDMXH

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/NZ5CDMXHB3HP7CTBPLMKR7CH3P \
  | 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: 6e7a21b2e70eceff8a617ad8a8fc47dbebcc1e3ee85f80f540c00dd7c7e80a97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2c22acb830e1915162d438235b07fc760a414ec73a52fe3287f660ed10ca12c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-06-01T10:21:16Z",
    "title_canon_sha256": "ef0d4f5a62e3f8475e10194ef0f66e717763440d9aaf3874d99af53f4b693c5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00243",
    "kind": "arxiv",
    "version": 1
  }
}