Pith Number

pith:VXHID4HH

pith:2017:VXHID4HH2VZGVU6SGLVZRD3P5Z

not attested not anchored not stored refs pending

On Moment Condition and Center Condition for Abel Equation

Ab\'ilio Lemos, Alexandre M. Alves, Anderson L. A. de Araujo

arxiv:1708.01512 v1 · 2017-08-02 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXHID4HH2VZGVU6SGLVZRD3P5Z}

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	2026-05-18T00:38:37.194302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adce81f0e7d5726ad3d232eb988f6fee6570d1e0287521cd7c253909b6c3e8d8

Aliases

arxiv: 1708.01512 · arxiv_version: 1708.01512v1 · doi: 10.48550/arxiv.1708.01512 · pith_short_12: VXHID4HH2VZG · pith_short_16: VXHID4HH2VZGVU6S · pith_short_8: VXHID4HH

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/VXHID4HH2VZGVU6SGLVZRD3P5Z \
  | 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: adce81f0e7d5726ad3d232eb988f6fee6570d1e0287521cd7c253909b6c3e8d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04d7338b6e2eddcfa26b87cda884b62e3b95385bba2df233fac7448019a5f1c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-08-02T19:34:16Z",
    "title_canon_sha256": "39e822ed838fcf4fa934f803dc548e3cfbc6e9efdec0cc5ec20a74e7f932682f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01512",
    "kind": "arxiv",
    "version": 1
  }
}