Pith Number

pith:TNXND7UR

pith:2017:TNXND7URZTEPPTI5IBFDPNDKUH

not attested not anchored not stored refs pending

Optimal lower exponent for the higher gradient integrability of solutions to two-phase elliptic equations in two dimensions

Mariapia Palombaro, Silvio Fanzon

arxiv:1703.07298 v1 · 2017-03-21 · 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{TNXND7URZTEPPTI5IBFDPNDKUH}

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	2026-05-17T23:53:52.394369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b6ed1fe91ccc8f7cd1d404a37b46aa1cf19b5c078975f9a6fc875e4d383bf7e

Aliases

arxiv: 1703.07298 · arxiv_version: 1703.07298v1 · doi: 10.48550/arxiv.1703.07298 · pith_short_12: TNXND7URZTEP · pith_short_16: TNXND7URZTEPPTI5 · pith_short_8: TNXND7UR

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/TNXND7URZTEPPTI5IBFDPNDKUH \
  | 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: 9b6ed1fe91ccc8f7cd1d404a37b46aa1cf19b5c078975f9a6fc875e4d383bf7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4457028505e28eb7a1bcaeb466a6b3b01e8b5d2d827f9b9b2c116de0f45f402d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-21T16:17:44Z",
    "title_canon_sha256": "1d1289628e1a6238e79a5f5d13489b5c16206e353c07beada6fe54eeb197669b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07298",
    "kind": "arxiv",
    "version": 1
  }
}