Pith Number

pith:UFGVPNZG

pith:2018:UFGVPNZGR3XJUIHMF6ET6J7PKD

not attested not anchored not stored refs pending

Infinitely many non-radial solutions to a critical equation on annulus

Angela Pistoia, Benniao Li, Shusen Yan, Yuxia Guo

arxiv:1804.01687 v1 · 2018-04-05 · 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{UFGVPNZGR3XJUIHMF6ET6J7PKD}

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	2026-05-18T00:19:10.360534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a14d57b7268eee9a20ec2f893f27ef50d6eb6fe02ccfbc9510b57ab8e5fb0eb4

Aliases

arxiv: 1804.01687 · arxiv_version: 1804.01687v1 · doi: 10.48550/arxiv.1804.01687 · pith_short_12: UFGVPNZGR3XJ · pith_short_16: UFGVPNZGR3XJUIHM · pith_short_8: UFGVPNZG

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/UFGVPNZGR3XJUIHMF6ET6J7PKD \
  | 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: a14d57b7268eee9a20ec2f893f27ef50d6eb6fe02ccfbc9510b57ab8e5fb0eb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6c0fc0ec18c300a5eaa8cdcd42657f6d22d9ea50440e08b68e67df6e76db7fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-05T06:55:47Z",
    "title_canon_sha256": "31d0b9474693c4cf5b94a969c4c775a5b35708d65d663276b964a50ca69943b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01687",
    "kind": "arxiv",
    "version": 1
  }
}