Pith Number

pith:6I7ZNPPZ

pith:2014:6I7ZNPPZG4Q4MYSACXCAHGNS2S

not attested not anchored not stored refs pending

Gradient estimates and the fundamental solution for higher-order elliptic systems with rough coefficients

Ariel Barton

arxiv:1409.7600 v1 · 2014-09-26 · 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{6I7ZNPPZG4Q4MYSACXCAHGNS2S}

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	2026-05-18T02:41:52.310818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f23f96bdf93721c6624015c40399b2d4a6146053c9f77303e4177f37a46ef002

Aliases

arxiv: 1409.7600 · arxiv_version: 1409.7600v1 · doi: 10.48550/arxiv.1409.7600 · pith_short_12: 6I7ZNPPZG4Q4 · pith_short_16: 6I7ZNPPZG4Q4MYSA · pith_short_8: 6I7ZNPPZ

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/6I7ZNPPZG4Q4MYSACXCAHGNS2S \
  | 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: f23f96bdf93721c6624015c40399b2d4a6146053c9f77303e4177f37a46ef002

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3549c1122d9d435264899ec5dd16eba202fe058e59a06f3fef58f0bd160e99f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-26T15:07:58Z",
    "title_canon_sha256": "a1f5054342e36b73061a077d78aa42656ad9c813bd8ab5ab8269e4ae34580762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7600",
    "kind": "arxiv",
    "version": 1
  }
}