Pith Number

pith:LUOZPAX5

pith:2013:LUOZPAX5WH2HGJBHDJVYEX3SOC

not attested not anchored not stored refs pending

Supercritical elliptic problems on a perturbation of the ball

Craig Cowan

arxiv:1302.0364 v2 · 2013-02-02 · 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{LUOZPAX5WH2HGJBHDJVYEX3SOC}

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	2026-05-18T03:08:59.440045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d1d9782fdb1f47324271a6b825f7270a59c43997e3f65aec72618cf6649ffa3

Aliases

arxiv: 1302.0364 · arxiv_version: 1302.0364v2 · doi: 10.48550/arxiv.1302.0364 · pith_short_12: LUOZPAX5WH2H · pith_short_16: LUOZPAX5WH2HGJBH · pith_short_8: LUOZPAX5

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/LUOZPAX5WH2HGJBHDJVYEX3SOC \
  | 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: 5d1d9782fdb1f47324271a6b825f7270a59c43997e3f65aec72618cf6649ffa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90dd89441c0b434692b1b7601d2dd3c54fadc2bfaeebe3115d1025ceb105b088",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-02T11:02:44Z",
    "title_canon_sha256": "27985dc4e10c26717797ce12fa1bbbd4e3f531c9bf1bd60ec6c25548fa95a814"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0364",
    "kind": "arxiv",
    "version": 2
  }
}