Pith Number

pith:2QVPXZSD

pith:2018:2QVPXZSDWK3EULAMU7XZPBO4VM

not attested not anchored not stored refs pending

Radial symmetry for p-harmonic functions in exterior and punctured domains

Giorgio Poggesi

arxiv:1801.07105 v2 · 2018-01-22 · 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{2QVPXZSDWK3EULAMU7XZPBO4VM}

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	2026-05-18T00:19:02.569656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d42afbe643b2b64a2c0ca7ef9785dcab3942296b21108b1f6d4d9ee10bb2d6b5

Aliases

arxiv: 1801.07105 · arxiv_version: 1801.07105v2 · doi: 10.48550/arxiv.1801.07105 · pith_short_12: 2QVPXZSDWK3E · pith_short_16: 2QVPXZSDWK3EULAM · pith_short_8: 2QVPXZSD

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/2QVPXZSDWK3EULAMU7XZPBO4VM \
  | 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: d42afbe643b2b64a2c0ca7ef9785dcab3942296b21108b1f6d4d9ee10bb2d6b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7709fad9bd30e0c6742b1065a8b72439fd42416e654b9476f50205e950e08f3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-01-22T14:03:00Z",
    "title_canon_sha256": "8708a8839d5fb2c2313c753b022a62c2d77532849693cfaabed23e84ada8b834"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07105",
    "kind": "arxiv",
    "version": 2
  }
}