Pith Number

pith:XQ2A2PMU

pith:2019:XQ2A2PMU6NBHFAU3UHPH2RMVQF

not attested not anchored not stored refs pending

Non-radial solutions to a bi-harmonic equation with negative exponent

Ali Hyder, Juncheng Wei

arxiv:1905.11491 v1 · 2019-05-27 · 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{XQ2A2PMU6NBHFAU3UHPH2RMVQF}

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	2026-05-17T23:44:53.262064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc340d3d94f34272829ba1de7d459581563436849e0bcd0c67bc4ac06fde3af9

Aliases

arxiv: 1905.11491 · arxiv_version: 1905.11491v1 · doi: 10.48550/arxiv.1905.11491 · pith_short_12: XQ2A2PMU6NBH · pith_short_16: XQ2A2PMU6NBHFAU3 · pith_short_8: XQ2A2PMU

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/XQ2A2PMU6NBHFAU3UHPH2RMVQF \
  | 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: bc340d3d94f34272829ba1de7d459581563436849e0bcd0c67bc4ac06fde3af9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c05b3fd8bd2a252249ac4622bd0ce0e9b8f6bbb2cb383909681c4ee146ce707",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-27T20:32:25Z",
    "title_canon_sha256": "9aa205a7630fa4754bdfb56599df33502d4e8aeeff04921d235739e1db68e1aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.11491",
    "kind": "arxiv",
    "version": 1
  }
}