Pith Number

pith:6K5AEO5D

pith:2016:6K5AEO5DVLY6DZZBD4XHO5FEPQ

not attested not anchored not stored refs pending

Cylindrically Symmetric Ground State Solutions for Curl-Curl Equations with Critical Exponent

Xiaoyu Zeng

arxiv:1609.09598 v2 · 2016-09-30 · math.AP · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6K5AEO5DVLY6DZZBD4XHO5FEPQ}

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	2026-05-18T00:28:02.664406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2ba023ba3aaf1e1e7211f2e7774a47c26fb3e988dc1f80db12a205dd34cf623

Aliases

arxiv: 1609.09598 · arxiv_version: 1609.09598v2 · doi: 10.48550/arxiv.1609.09598 · pith_short_12: 6K5AEO5DVLY6 · pith_short_16: 6K5AEO5DVLY6DZZB · pith_short_8: 6K5AEO5D

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/6K5AEO5DVLY6DZZBD4XHO5FEPQ \
  | 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: f2ba023ba3aaf1e1e7211f2e7774a47c26fb3e988dc1f80db12a205dd34cf623

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61a96a89f483b2576e1a1c1106dc7b6f25f79c54cd0356dcc7407287e5e40a76",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-30T05:21:25Z",
    "title_canon_sha256": "271897347f8b787eae14ef74a8de3e33fbf8a045115bb5caa57cc943055db3ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09598",
    "kind": "arxiv",
    "version": 2
  }
}