Pith Number

pith:UIBC5NDA

pith:2007:UIBC5NDAQHOCM2TFAQCWBXUQAF

not attested not anchored not stored refs pending

"Boundary blowup" type sub-solutions to semilinear elliptic equations with Hardy potential

Catherine Bandle, Vitaly Moroz, Wolfgang Reichel

arxiv:0708.1155 v2 · 2007-08-08 · 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{UIBC5NDAQHOCM2TFAQCWBXUQAF}

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	2026-05-18T00:09:37.122801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2022eb46081dc266a65040560de90014822eec41f4c83aec45363282748e155

Aliases

arxiv: 0708.1155 · arxiv_version: 0708.1155v2 · doi: 10.48550/arxiv.0708.1155 · pith_short_12: UIBC5NDAQHOC · pith_short_16: UIBC5NDAQHOCM2TF · pith_short_8: UIBC5NDA

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/UIBC5NDAQHOCM2TFAQCWBXUQAF \
  | 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: a2022eb46081dc266a65040560de90014822eec41f4c83aec45363282748e155

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b676539fbd6c5374487c8f51c604acb78344124d1dad52113682408e521fcecb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-08-08T18:35:53Z",
    "title_canon_sha256": "fd13d6ff3d24068bb2639c98675e3e033e1575e1fc627d73ff8136ec18a102c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.1155",
    "kind": "arxiv",
    "version": 2
  }
}