Pith Number

pith:33J3TBWS

pith:2015:33J3TBWSRL72CQUCLAUVWWQZSL

not attested not anchored not stored refs pending

Square function estimates on layer potentials for higher-order elliptic equations

Ariel Barton, Steve Hofmann, Svitlana Mayboroda

arxiv:1508.04988 v1 · 2015-08-20 · 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{33J3TBWSRL72CQUCLAUVWWQZSL}

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	2026-05-18T01:35:00.068356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ded3b986d28affa1428258295b5a1992d4dd75e0a68a1c0137939b2a61b48e96

Aliases

arxiv: 1508.04988 · arxiv_version: 1508.04988v1 · doi: 10.48550/arxiv.1508.04988 · pith_short_12: 33J3TBWSRL72 · pith_short_16: 33J3TBWSRL72CQUC · pith_short_8: 33J3TBWS

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/33J3TBWSRL72CQUCLAUVWWQZSL \
  | 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: ded3b986d28affa1428258295b5a1992d4dd75e0a68a1c0137939b2a61b48e96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1902bd0f84bb9ce8d85a18e76e8137db19ec9d68d3c84d7850912163844a1c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-20T14:09:17Z",
    "title_canon_sha256": "be3d7b523345f7857d304d8341d16b6a3dda77882fb2727ce2393568bd175378"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04988",
    "kind": "arxiv",
    "version": 1
  }
}