Pith Number

pith:2VZMAVZE

pith:2015:2VZMAVZE64LSIBUMEM7OZBGIO5

not attested not anchored not stored refs pending

Uniqueness and nondegeneracy of sign-changing radial solutions to an almost critical elliptic problem

Juncheng Wei, Weiwei Ao, Wei Yao

arxiv:1510.04678 v1 · 2015-10-15 · 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{2VZMAVZE64LSIBUMEM7OZBGIO5}

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	2026-05-18T01:30:01.969236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d572c05724f71724068c233eec84c877653d3a7b5dd3fa684a6ee8bb8cab3b13

Aliases

arxiv: 1510.04678 · arxiv_version: 1510.04678v1 · doi: 10.48550/arxiv.1510.04678 · pith_short_12: 2VZMAVZE64LS · pith_short_16: 2VZMAVZE64LSIBUM · pith_short_8: 2VZMAVZE

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/2VZMAVZE64LSIBUMEM7OZBGIO5 \
  | 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: d572c05724f71724068c233eec84c877653d3a7b5dd3fa684a6ee8bb8cab3b13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "099fe47695024b568de38892832dea25d156be9c1967bf9bef832c01102239b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-15T19:37:04Z",
    "title_canon_sha256": "199973574a9bb5c5a7ce4f15d00d1c48edf00434fcfaba0769f000183c53367e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04678",
    "kind": "arxiv",
    "version": 1
  }
}