Pith Number

pith:3X4X4LY5

pith:2015:3X4X4LY5XDWRZOUE2D5D6EGONS

not attested not anchored not stored refs pending

A Note on Darboux Polynomials of Monomial Derivations

Jiantao Li

arxiv:1503.07011 v1 · 2015-03-24 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3X4X4LY5XDWRZOUE2D5D6EGONS}

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	2026-05-18T02:20:29.549690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddf97e2f1db8ed1cba84d0fa3f10ce6ca9020e8a29a2c37f0b50f6a29be7d5a9

Aliases

arxiv: 1503.07011 · arxiv_version: 1503.07011v1 · doi: 10.48550/arxiv.1503.07011 · pith_short_12: 3X4X4LY5XDWR · pith_short_16: 3X4X4LY5XDWRZOUE · pith_short_8: 3X4X4LY5

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/3X4X4LY5XDWRZOUE2D5D6EGONS \
  | 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: ddf97e2f1db8ed1cba84d0fa3f10ce6ca9020e8a29a2c37f0b50f6a29be7d5a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae1357271351601cec01afcb2403a7568628cc268161c57e9c89c8ac0b3f03bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-03-24T12:31:25Z",
    "title_canon_sha256": "0548cbc961885d282cc67253f740dd04b3b834c543e31f172673294ecf02d836"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07011",
    "kind": "arxiv",
    "version": 1
  }
}