Pith Number

pith:XTRMAWSO

pith:2015:XTRMAWSOKGIB5Z3LHRBPCFOXEF

not attested not anchored not stored refs pending

Multi-bubble nodal solutions to slightly subcritical elliptic problems with Hardy terms

Qianqiao Guo, Thomas Bartsch

arxiv:1508.04007 v1 · 2015-08-17 · 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{XTRMAWSOKGIB5Z3LHRBPCFOXEF}

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	2026-05-18T01:35:13.047052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bce2c05a4e51901ee76b3c42f115d7216553f80953fb9c89c644eadb6a069938

Aliases

arxiv: 1508.04007 · arxiv_version: 1508.04007v1 · doi: 10.48550/arxiv.1508.04007 · pith_short_12: XTRMAWSOKGIB · pith_short_16: XTRMAWSOKGIB5Z3L · pith_short_8: XTRMAWSO

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/XTRMAWSOKGIB5Z3LHRBPCFOXEF \
  | 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: bce2c05a4e51901ee76b3c42f115d7216553f80953fb9c89c644eadb6a069938

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bee88a807e2d860ee94eb9900754af2302f9485f50feec7568c72976520364b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-17T12:58:01Z",
    "title_canon_sha256": "8e1e5945893b2328d52d0a900e2fc661f40280eea0b32b5f95d783be20db453b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04007",
    "kind": "arxiv",
    "version": 1
  }
}