Pith Number

pith:ZLFMMCCA

pith:2019:ZLFMMCCA3TI7PDCRCIYJBHVQQJ

not attested not anchored not stored refs pending

A note on eigenvalues estimates for one-dimensional diffusion operators

Ald\'eric Joulin (IMT), Michel Bonnefont (IMB)

arxiv:1906.02496 v1 · 2019-06-06 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLFMMCCA3TI7PDCRCIYJBHVQQJ}

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	2026-05-17T23:44:00.975762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cacac60840dcd1f78c511230909eb0825523d7dcf5ab6e1744f7326a57bb50bc

Aliases

arxiv: 1906.02496 · arxiv_version: 1906.02496v1 · doi: 10.48550/arxiv.1906.02496 · pith_short_12: ZLFMMCCA3TI7 · pith_short_16: ZLFMMCCA3TI7PDCR · pith_short_8: ZLFMMCCA

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/ZLFMMCCA3TI7PDCRCIYJBHVQQJ \
  | 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: cacac60840dcd1f78c511230909eb0825523d7dcf5ab6e1744f7326a57bb50bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64d8ec7217be57fbed86941abe65747cdd11acc02c4f95d4340d7b2e6b4509cb",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-06-06T09:40:05Z",
    "title_canon_sha256": "5eaf4d65290866812cdaf85e73e03c8d1d7ce25e88a1762db5de4d982e89f702"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.02496",
    "kind": "arxiv",
    "version": 1
  }
}