Pith Number

pith:IGB5TNDL

pith:2014:IGB5TNDLA6VMG325X5FZMQ4SBU

not attested not anchored not stored refs pending

Bi-Sobolev Solutions to the Prescribed Jacobian Inequality in the Plane with $L^p$ Data

Julian Fischer, Olivier Kneuss

arxiv:1408.1587 v2 · 2014-08-07 · 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{IGB5TNDLA6VMG325X5FZMQ4SBU}

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	2026-05-18T01:11:37.516045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4183d9b46b07aac36f5dbf4b9643920d2da3269a0b050e20316355ca5d6b81f9

Aliases

arxiv: 1408.1587 · arxiv_version: 1408.1587v2 · doi: 10.48550/arxiv.1408.1587 · pith_short_12: IGB5TNDLA6VM · pith_short_16: IGB5TNDLA6VMG325 · pith_short_8: IGB5TNDL

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/IGB5TNDLA6VMG325X5FZMQ4SBU \
  | 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: 4183d9b46b07aac36f5dbf4b9643920d2da3269a0b050e20316355ca5d6b81f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e76d0fb405d81d1fa08028036907cb1312d4fa52ad0f5042acdb4cccb7e04e5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-08-07T13:45:24Z",
    "title_canon_sha256": "65f0bd13dcce903fdd25ff27a3c9842c1de7e2953f36ea680cbc4136f7f7252c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1587",
    "kind": "arxiv",
    "version": 2
  }
}