Pith Number

pith:7ZGHVI4X

pith:2013:7ZGHVI4XBT6E7PERNL2JGD4CCF

not attested not anchored not stored refs pending

Some Applications of the Extended Bendixson-Dulac Theorem

Armengol Gasull, Hector Giacomini

arxiv:1305.3402 v1 · 2013-05-15 · 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{7ZGHVI4XBT6E7PERNL2JGD4CCF}

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	2026-05-18T03:25:35.923217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe4c7aa3970cfc4fbc916af4930f821178f3ce34de18466bad1c7a19a62361f6

Aliases

arxiv: 1305.3402 · arxiv_version: 1305.3402v1 · doi: 10.48550/arxiv.1305.3402 · pith_short_12: 7ZGHVI4XBT6E · pith_short_16: 7ZGHVI4XBT6E7PER · pith_short_8: 7ZGHVI4X

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/7ZGHVI4XBT6E7PERNL2JGD4CCF \
  | 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: fe4c7aa3970cfc4fbc916af4930f821178f3ce34de18466bad1c7a19a62361f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3370e47c627fb892d8671b4290d781fd9fcc043cac0bef9e69677ce10d586f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-05-15T09:27:57Z",
    "title_canon_sha256": "972d9c38ef9a4ff7c90254b571681f5631f14d0b7c2dec62667b9544f10f1d41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3402",
    "kind": "arxiv",
    "version": 1
  }
}