Pith Number

pith:HD7ZIQPD

pith:2018:HD7ZIQPDJMNF2IHBNFFVVSWFNP

not attested not anchored not stored refs pending

Characterization of mean value harmonic functions on norm induced metric measure spaces with weighted Lebesgue measure

Antoni Kijowski

arxiv:1804.10005 v2 · 2018-04-26 · math.AP · math.MG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HD7ZIQPDJMNF2IHBNFFVVSWFNP}

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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	2026-05-17T23:58:48.051178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38ff9441e34b1a5d20e1694b5acac56bf9a05177e6d0c85218d8382d206476e5

Aliases

arxiv: 1804.10005 · arxiv_version: 1804.10005v2 · doi: 10.48550/arxiv.1804.10005 · pith_short_12: HD7ZIQPDJMNF · pith_short_16: HD7ZIQPDJMNF2IHB · pith_short_8: HD7ZIQPD

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/HD7ZIQPDJMNF2IHBNFFVVSWFNP \
  | 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: 38ff9441e34b1a5d20e1694b5acac56bf9a05177e6d0c85218d8382d206476e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10d9fba60dee1a37fbde805d6fa1f35dfb420b21a2165675c5fb35a90ce0688f",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-26T11:49:49Z",
    "title_canon_sha256": "c86c410f9f2c1ccc4fcd649e73f89a9ced76aa441bef290442f6372d9f97fdfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10005",
    "kind": "arxiv",
    "version": 2
  }
}