Pith Number

pith:253SSOBO

pith:2012:253SSOBODRJT5BGN7EJSXXB4NW

not attested not anchored not stored refs pending

The H\"older Quasicontinuity for Riesz-Morrey Potentials and Lane-Emden Equations

David R. Adams, J. Xiao

arxiv:1205.1987 v6 · 2012-05-09 · 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{253SSOBODRJT5BGN7EJSXXB4NW}

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	2026-05-18T02:27:29.701797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d77729382e1c533e84cdf9132bdc3c6da0d9333cbb2c5197e15b8945a20243ea

Aliases

arxiv: 1205.1987 · arxiv_version: 1205.1987v6 · doi: 10.48550/arxiv.1205.1987 · pith_short_12: 253SSOBODRJT · pith_short_16: 253SSOBODRJT5BGN · pith_short_8: 253SSOBO

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/253SSOBODRJT5BGN7EJSXXB4NW \
  | 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: d77729382e1c533e84cdf9132bdc3c6da0d9333cbb2c5197e15b8945a20243ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e26d0cf16022e6f8ad1a8ddf2bc7f43bb59d360a7346ccefbd93e9a83651fec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-09T14:09:28Z",
    "title_canon_sha256": "a317bcdf29f284f7a9d6fe6bd8b4871047b3e283bf90908576c51045aa6e857a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1987",
    "kind": "arxiv",
    "version": 6
  }
}