Pith Number

pith:VLQS2UR5

pith:2011:VLQS2UR5NJ7D7GLCS7SE22NSS6

not attested not anchored not stored refs pending

Lower and upper bounds for the first eigenvalue of nonlocal diffusion problems in the whole space

A. San Antolin, J. D. Rossi, L. I. Ignat

arxiv:1111.4114 v1 · 2011-11-17 · 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{VLQS2UR5NJ7D7GLCS7SE22NSS6}

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	2026-05-18T04:08:05.663259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aae12d523d6a7e3f996297e44d69b2978668d75817dd55377f84400b65eaf393

Aliases

arxiv: 1111.4114 · arxiv_version: 1111.4114v1 · doi: 10.48550/arxiv.1111.4114 · pith_short_12: VLQS2UR5NJ7D · pith_short_16: VLQS2UR5NJ7D7GLC · pith_short_8: VLQS2UR5

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/VLQS2UR5NJ7D7GLCS7SE22NSS6 \
  | 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: aae12d523d6a7e3f996297e44d69b2978668d75817dd55377f84400b65eaf393

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d6c7fc0ad9a0db861dffefeb0c7ae57d2e6436f4739315d03a05ac0faf7095d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-17T14:44:13Z",
    "title_canon_sha256": "95919cfc62ce472b737a5e2e8d6cb5d6b5972f021f1ecf6422273f008cfb79e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4114",
    "kind": "arxiv",
    "version": 1
  }
}