Pith Number

pith:UBEDXNAU

pith:2014:UBEDXNAUV2S3BF4JOS5MK57XX4

not attested not anchored not stored refs pending

Lower bounds of eigenvalues of the biharmonic operators by the rectangular Morley element methods

Jun Hu, Xueqin Yang

arxiv:1412.8568 v1 · 2014-12-30 · 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{UBEDXNAUV2S3BF4JOS5MK57XX4}

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	2026-05-18T02:30:17.008713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0483bb414aea5b0978974bac577f7bf115fe9de8f0fa8b9038c8e4795dae62e

Aliases

arxiv: 1412.8568 · arxiv_version: 1412.8568v1 · doi: 10.48550/arxiv.1412.8568 · pith_short_12: UBEDXNAUV2S3 · pith_short_16: UBEDXNAUV2S3BF4J · pith_short_8: UBEDXNAU

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/UBEDXNAUV2S3BF4JOS5MK57XX4 \
  | 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: a0483bb414aea5b0978974bac577f7bf115fe9de8f0fa8b9038c8e4795dae62e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b354b7a2bfe0b8faff588b0af44881adfbd6847324455cf42944bea9fb329c09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-12-30T06:13:35Z",
    "title_canon_sha256": "f8bceb9b4c4fcb625f68dc4903b7cd9957226f81d0984e62f7eb8ce850b0aee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8568",
    "kind": "arxiv",
    "version": 1
  }
}