Pith Number

pith:57H5JDHD

pith:2010:57H5JDHDPQ6NQA465ZTGX3CFYI

not attested not anchored not stored refs pending

Generalizations and properties of the principal eigenvalue of elliptic operators in unbounded domains

Henri Berestycki, Luca Rossi

arxiv:1008.4871 v5 · 2010-08-28 · 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{57H5JDHDPQ6NQA465ZTGX3CFYI}

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	2026-05-18T03:11:33.891573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efcfd48ce37c3cd8039eee666bec45c2373f4820060fc54225f06563b9f92355

Aliases

arxiv: 1008.4871 · arxiv_version: 1008.4871v5 · doi: 10.48550/arxiv.1008.4871 · pith_short_12: 57H5JDHDPQ6N · pith_short_16: 57H5JDHDPQ6NQA46 · pith_short_8: 57H5JDHD

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/57H5JDHDPQ6NQA465ZTGX3CFYI \
  | 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: efcfd48ce37c3cd8039eee666bec45c2373f4820060fc54225f06563b9f92355

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8a4569a31abdb2193ab98676309f064e642f5cec986bd6f472f9e836ecdfad2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-08-28T14:33:55Z",
    "title_canon_sha256": "5fc7453c3fd6ae152291b61aa222d0fe3bfaa55c984a613e3881c55120c6f451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4871",
    "kind": "arxiv",
    "version": 5
  }
}