Pith Number

pith:OPFFQYA2

pith:2005:OPFFQYA2372TMLCEVMLAF6UPPH

not attested not anchored not stored refs pending

The role of algebraic solutions in planar polynomial differential systems

H\'ector Giacomini, Jaume Gin\'e, Maite Grau

arxiv:math/0506036 v1 · 2005-06-02 · math.DS · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPFFQYA2372TMLCEVMLAF6UPPH}

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	2026-05-18T00:44:18.919261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73ca58601adff5362c44ab1602fa8f79d284fec0544b27d6a2f201b37bf25bac

Aliases

arxiv: math/0506036 · arxiv_version: math/0506036v1 · doi: 10.48550/arxiv.math/0506036 · pith_short_12: OPFFQYA2372T · pith_short_16: OPFFQYA2372TMLCE · pith_short_8: OPFFQYA2

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/OPFFQYA2372TMLCEVMLAF6UPPH \
  | 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: 73ca58601adff5362c44ab1602fa8f79d284fec0544b27d6a2f201b37bf25bac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eca16937d2e5a30587d0dfbd8395b7b091df604eeb70a15d0705790f164c7f28",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2005-06-02T08:28:11Z",
    "title_canon_sha256": "299cbb95d9263c93c36b47296d9a91e6e2a8a6df5e8be1850d7afbfbc586e15f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506036",
    "kind": "arxiv",
    "version": 1
  }
}