Pith Number

pith:5LKUACYS

pith:2016:5LKUACYSG4XQ7QI3W4VHBPFQHZ

not attested not anchored not stored refs pending

Dacorogna-Moser theorem on the Jacobian determinant equation with control of support

Pedro Teixeira

arxiv:1608.06213 v7 · 2016-08-22 · 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{5LKUACYSG4XQ7QI3W4VHBPFQHZ}

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	2026-05-18T00:08:57.840572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ead5400b12372f0fc11bb72a70bcb03e55f68df408fd9a1c6c4cdb346dacab71

Aliases

arxiv: 1608.06213 · arxiv_version: 1608.06213v7 · doi: 10.48550/arxiv.1608.06213 · pith_short_12: 5LKUACYSG4XQ · pith_short_16: 5LKUACYSG4XQ7QI3 · pith_short_8: 5LKUACYS

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/5LKUACYSG4XQ7QI3W4VHBPFQHZ \
  | 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: ead5400b12372f0fc11bb72a70bcb03e55f68df408fd9a1c6c4cdb346dacab71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f65027b679eb96b1f0c7b4b70b808d0c554d84a9ad057fdbe31264aec1cdf0b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-22T16:25:39Z",
    "title_canon_sha256": "3e77e53413eb4090b4112f492b6e5f763632c3ec4515b04178e22829d2b6c13d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06213",
    "kind": "arxiv",
    "version": 7
  }
}