Pith Number

pith:UL63ZR67

pith:2013:UL63ZR67CF4RSTQGUVVO6VY3ND

not attested not anchored not stored refs pending

A priori bounds for positive solutions of subcritical elliptic equations

Alfonso Castro, Rosa Pardo

arxiv:1303.0648 v1 · 2013-03-04 · 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{UL63ZR67CF4RSTQGUVVO6VY3ND}

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	2026-05-18T03:31:55.328246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2fdbcc7df1179194e06a56aef571b68fb1d682688daccf1cc4853f4e4ab0e29

Aliases

arxiv: 1303.0648 · arxiv_version: 1303.0648v1 · doi: 10.48550/arxiv.1303.0648 · pith_short_12: UL63ZR67CF4R · pith_short_16: UL63ZR67CF4RSTQG · pith_short_8: UL63ZR67

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/UL63ZR67CF4RSTQGUVVO6VY3ND \
  | 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: a2fdbcc7df1179194e06a56aef571b68fb1d682688daccf1cc4853f4e4ab0e29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32fd11500239ad32571409352833f2bed9496d91cc5424a64576e6687ec9c799",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-04T09:17:18Z",
    "title_canon_sha256": "20b2ce274a1f57251ef85cf7ae53ee4ce4034da45f6bd8402f42f867080da8e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0648",
    "kind": "arxiv",
    "version": 1
  }
}