Pith Number

pith:T5YJZOBU

pith:2013:T5YJZOBUIWBHBBMWDKYI3PJHM3

not attested not anchored not stored refs pending

Two-sided bounds for eigenvalues of differential operators with applications to Friedrichs', Poincar\'e, trace, and similar constants

Ivana \v{S}ebestov\'a, Tom\'a\v{s} Vejchodsk\'y

arxiv:1303.7416 v2 · 2013-03-29 · 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{T5YJZOBUIWBHBBMWDKYI3PJHM3}

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	2026-05-18T02:58:23.608149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f709cb83445827085961ab08dbd2766f0c2b9ea55ae743bc55735201dba0363

Aliases

arxiv: 1303.7416 · arxiv_version: 1303.7416v2 · doi: 10.48550/arxiv.1303.7416 · pith_short_12: T5YJZOBUIWBH · pith_short_16: T5YJZOBUIWBHBBMW · pith_short_8: T5YJZOBU

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/T5YJZOBUIWBHBBMWDKYI3PJHM3 \
  | 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: 9f709cb83445827085961ab08dbd2766f0c2b9ea55ae743bc55735201dba0363

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b00c9e6e6c382ac009b4aeedf51fca787ae4039051f2972028755d459c5fef8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-03-29T15:00:54Z",
    "title_canon_sha256": "ba120654aff816490c5ac209f71c5398f41885d70295a204b8a35322c7aa4a54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7416",
    "kind": "arxiv",
    "version": 2
  }
}