Pith Number

pith:6MWS2WQA

pith:2013:6MWS2WQADNPY4NEZYUIHLRPQB6

not attested not anchored not stored refs pending

Bubble concentration on spheres for supercritical elliptic problems

Angela Pistoia, Filomena Pacella

arxiv:1302.2773 v1 · 2013-02-12 · 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{6MWS2WQADNPY4NEZYUIHLRPQB6}

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	2026-05-18T03:33:50.897410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f32d2d5a001b5f8e3499c51075c5f00fbb716756b97369b3d62a995cc8851ad1

Aliases

arxiv: 1302.2773 · arxiv_version: 1302.2773v1 · doi: 10.48550/arxiv.1302.2773 · pith_short_12: 6MWS2WQADNPY · pith_short_16: 6MWS2WQADNPY4NEZ · pith_short_8: 6MWS2WQA

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/6MWS2WQADNPY4NEZYUIHLRPQB6 \
  | 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: f32d2d5a001b5f8e3499c51075c5f00fbb716756b97369b3d62a995cc8851ad1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fba2318315d2350d3118685fd7fb7908715f462093446c6d8eb5b86dd6305c45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-12T12:49:30Z",
    "title_canon_sha256": "e402bd926fc77751669ddeee57e78fcce60e517cfcf3cc1c0ec9b39a35d7a472"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2773",
    "kind": "arxiv",
    "version": 1
  }
}