Pith Number

pith:B5F4QZ2E

pith:2017:B5F4QZ2ENZ57RRJ744TGR74POI

not attested not anchored not stored refs pending

Conditions to the existence of center in planar systems and center for Abel equations

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

arxiv:1707.02664 v1 · 2017-07-10 · 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{B5F4QZ2ENZ57RRJ744TGR74POI}

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	2026-05-18T00:40:36.187354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f4bc867446e7bf8c53fe72668ff8f7212b72a2d693b62cc6db926dbff94e8c8

Aliases

arxiv: 1707.02664 · arxiv_version: 1707.02664v1 · doi: 10.48550/arxiv.1707.02664 · pith_short_12: B5F4QZ2ENZ57 · pith_short_16: B5F4QZ2ENZ57RRJ7 · pith_short_8: B5F4QZ2E

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/B5F4QZ2ENZ57RRJ744TGR74POI \
  | 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: 0f4bc867446e7bf8c53fe72668ff8f7212b72a2d693b62cc6db926dbff94e8c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abd9191ba5fb94f198579585f1f0a61424233337f825c03eb8daa6b0a0e3e263",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-07-10T00:45:45Z",
    "title_canon_sha256": "58f790a6df72c4744a91ec6e6dbd1cba4628ea94b44d4fd4f90dc970a8578b11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02664",
    "kind": "arxiv",
    "version": 1
  }
}