Pith Number

pith:JLQI7BOX

pith:2016:JLQI7BOXQRMPUMPEXEBKUE62UP

not attested not anchored not stored refs pending

Best dispersal strategies in spatially heterogeneous environments: optimization of the principal eigenvalue for indefinite fractional Neumann problems

Benedetta Pellacci, Gianmaria Verzini

arxiv:1607.08709 v3 · 2016-07-29 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JLQI7BOXQRMPUMPEXEBKUE62UP}

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	2026-05-18T00:01:39.328916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ae08f85d78458fa31e4b902aa13daa3c95f215c504cbafda6899f007759e9ef

Aliases

arxiv: 1607.08709 · arxiv_version: 1607.08709v3 · doi: 10.48550/arxiv.1607.08709 · pith_short_12: JLQI7BOXQRMP · pith_short_16: JLQI7BOXQRMPUMPE · pith_short_8: JLQI7BOX

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/JLQI7BOXQRMPUMPEXEBKUE62UP \
  | 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: 4ae08f85d78458fa31e4b902aa13daa3c95f215c504cbafda6899f007759e9ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c76f2372c09e7f5c054e6f5b5dec3384a91839739920e00decb1e99dc6bb1d4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-29T07:36:12Z",
    "title_canon_sha256": "a20c066f964ee4d94d6fb8ead0ba16b6a8c57f819ec469e61205d05b11f87790"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08709",
    "kind": "arxiv",
    "version": 3
  }
}