Pith Number

pith:TP2TLN3R

pith:2009:TP2TLN3R3ATUPHHLVIWGDTUYMP

not attested not anchored not stored refs pending

Approximate Parametrization of Plane Algebraic Curves by Linear Systems of Curves

J. Rafael Sendra, Juana Sendra, Sonia L. Rueda, Sonia Perez-Diaz

arxiv:0901.0320 v1 · 2009-01-03 · 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{TP2TLN3R3ATUPHHLVIWGDTUYMP}

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	2026-05-18T03:03:10.612987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bf535b771d827479cebaa2c61ce9863cd7bde344ce747e182ad8812d58ac61c

Aliases

arxiv: 0901.0320 · arxiv_version: 0901.0320v1 · doi: 10.48550/arxiv.0901.0320 · pith_short_12: TP2TLN3R3ATU · pith_short_16: TP2TLN3R3ATUPHHL · pith_short_8: TP2TLN3R

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/TP2TLN3R3ATUPHHLVIWGDTUYMP \
  | 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: 9bf535b771d827479cebaa2c61ce9863cd7bde344ce747e182ad8812d58ac61c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b615ca7f97946b1d41f2da4705aab271bed7c1379d88edb11a5a7f81e0c19b07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-01-03T13:02:41Z",
    "title_canon_sha256": "240a55254a37ea5ba41f839ee39e8144869de254a40f28e506cc4028336d5a57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0320",
    "kind": "arxiv",
    "version": 1
  }
}