Pith Number

pith:K3Z2262L

pith:2013:K3Z2262L3572LFDLWYQCVPVZ6X

not attested not anchored not stored refs pending

Eigenvalue estimates for a class of elliptic differential operators on compact manifolds

Detang Zhou, Greg\'orio Silva Neto, Hil\'ario Alencar

arxiv:1304.5268 v2 · 2013-04-18 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K3Z2262L3572LFDLWYQCVPVZ6X}

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	2026-05-18T00:46:32.355518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56f3ad7b4bdf7fa5946bb6202abeb9f5e097933f9d299e12ec2be2825e875d04

Aliases

arxiv: 1304.5268 · arxiv_version: 1304.5268v2 · doi: 10.48550/arxiv.1304.5268 · pith_short_12: K3Z2262L3572 · pith_short_16: K3Z2262L3572LFDL · pith_short_8: K3Z2262L

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/K3Z2262L3572LFDLWYQCVPVZ6X \
  | 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: 56f3ad7b4bdf7fa5946bb6202abeb9f5e097933f9d299e12ec2be2825e875d04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb42b757bcbe9edabf07473c5663c7a4eb54746fb0ef23407aef0a4c3e06f776",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-04-18T22:00:22Z",
    "title_canon_sha256": "d46a96313ef06218e676375e728a2806fc2bd031d0aa77ce7db33438674937b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5268",
    "kind": "arxiv",
    "version": 2
  }
}