Pith Number

pith:6ODSN2I3

pith:2015:6ODSN2I32OOA7VOO6L62Z2AVKL

not attested not anchored not stored refs pending

Critical exponent for half-Laplacian in the whole space

Jacques Giacomoni, Konijeti Sreenadh, Pawan Mishra

arxiv:1510.00804 v1 · 2015-10-03 · 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{6ODSN2I32OOA7VOO6L62Z2AVKL}

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	2026-05-18T01:31:05.631367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f38726e91bd39c0fd5cef2fdace81552d4889d160d953178395007db155f9823

Aliases

arxiv: 1510.00804 · arxiv_version: 1510.00804v1 · doi: 10.48550/arxiv.1510.00804 · pith_short_12: 6ODSN2I32OOA · pith_short_16: 6ODSN2I32OOA7VOO · pith_short_8: 6ODSN2I3

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/6ODSN2I32OOA7VOO6L62Z2AVKL \
  | 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: f38726e91bd39c0fd5cef2fdace81552d4889d160d953178395007db155f9823

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e74be7bb3b3fa7d6d54e7be7d806b4dc44e89ec711d838bf943e37c4d21c0cbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-03T10:04:12Z",
    "title_canon_sha256": "f6652d477d546a8cd787a4df7909931f3e19e4aeaad6436782d274033461690c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00804",
    "kind": "arxiv",
    "version": 1
  }
}