Pith Number

pith:S3Y22NPE

pith:2014:S3Y22NPE3WYUNV6PKC2YY6X4BS

not attested not anchored not stored refs pending

Guaranteed Lower and upper bounds for eigenvalues of second order elliptic operators in any dimension

Jun Hu, Rui Ma

arxiv:1406.6520 v1 · 2014-06-25 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S3Y22NPE3WYUNV6PKC2YY6X4BS}

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	2026-05-18T02:49:02.679263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96f1ad35e4ddb146d7cf50b58c7afc0cb89d0626a22ddafaefd3148e7688ac12

Aliases

arxiv: 1406.6520 · arxiv_version: 1406.6520v1 · doi: 10.48550/arxiv.1406.6520 · pith_short_12: S3Y22NPE3WYU · pith_short_16: S3Y22NPE3WYUNV6P · pith_short_8: S3Y22NPE

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/S3Y22NPE3WYUNV6PKC2YY6X4BS \
  | 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: 96f1ad35e4ddb146d7cf50b58c7afc0cb89d0626a22ddafaefd3148e7688ac12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c509d0c2e9eae1af2ddaad6048c69ae82a06227750468e652dfad719f9dfa047",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-06-25T10:44:18Z",
    "title_canon_sha256": "58e789404ba0faeb0561f107edc29e1a5639c326c61e9e71c78ff8c6448c6901"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6520",
    "kind": "arxiv",
    "version": 1
  }
}