Pith Number

pith:XPGI22G4

pith:2015:XPGI22G4O2PJ7YRC63NAKMQHZX

not attested not anchored not stored refs pending

Sharp hessian integrability estimates for nonlinear elliptic equations: an asymptotic approach

Edgard Pimentel, Eduardo V. Teixeira

arxiv:1510.01284 v1 · 2015-10-05 · 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{XPGI22G4O2PJ7YRC63NAKMQHZX}

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	2026-05-18T01:31:04.342644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbcc8d68dc769e9fe222f6da053207cde9d7369d6b2e5fc182f5fc0c0b5db703

Aliases

arxiv: 1510.01284 · arxiv_version: 1510.01284v1 · doi: 10.48550/arxiv.1510.01284 · pith_short_12: XPGI22G4O2PJ · pith_short_16: XPGI22G4O2PJ7YRC · pith_short_8: XPGI22G4

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/XPGI22G4O2PJ7YRC63NAKMQHZX \
  | 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: bbcc8d68dc769e9fe222f6da053207cde9d7369d6b2e5fc182f5fc0c0b5db703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af4b32f729bcb22dfac02f601028b1762c5459e55e2a2fbd2053090341023660",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-05T19:02:13Z",
    "title_canon_sha256": "a609b12dcb654fc0d006659b434c6e2c50bd3e6b979a6f56ef9fcd7c3ccebfd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01284",
    "kind": "arxiv",
    "version": 1
  }
}