Pith Number

pith:KPBGJEYY

pith:2011:KPBGJEYYCY32UQOON6DP3TNASW

not attested not anchored not stored refs pending

Lyapunov inequalities for Partial Differential Equations at radial higher eigenvalues

Antonio Canada, Salvador Villegas

arxiv:1109.5020 v1 · 2011-09-23 · 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{KPBGJEYYCY32UQOON6DP3TNASW}

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	2026-05-18T04:12:31.709800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53c26493181637aa41ce6f86fdcda095a8c117beec4e12bd76af0077bce92092

Aliases

arxiv: 1109.5020 · arxiv_version: 1109.5020v1 · doi: 10.48550/arxiv.1109.5020 · pith_short_12: KPBGJEYYCY32 · pith_short_16: KPBGJEYYCY32UQOO · pith_short_8: KPBGJEYY

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/KPBGJEYYCY32UQOON6DP3TNASW \
  | 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: 53c26493181637aa41ce6f86fdcda095a8c117beec4e12bd76af0077bce92092

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b382ce7a07ca185ee4b50ad733c64ac2ef1341d5a8f602e16e92441b3546bb3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-23T08:58:23Z",
    "title_canon_sha256": "6e6b4975579614e9cd94ce274cfb8d8526a3a5701b9ee53b4fb8ba3c476201b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5020",
    "kind": "arxiv",
    "version": 1
  }
}