Pith Number

pith:C4XPKRXX

pith:2016:C4XPKRXXWEOCBU7PAE4KA7ZVD3

not attested not anchored not stored refs pending

Singularities of plane rational curves via projections

Alessandra Bernardi, Alessandro Gimigliano, Monica Id\`a

arxiv:1609.01877 v2 · 2016-09-07 · math.AG · 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{C4XPKRXXWEOCBU7PAE4KA7ZVD3}

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	2026-05-18T00:44:15.936598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

172ef546f7b11c20d3ef0138a07f351eca806eaebb23a73dd19c6a155b7ac070

Aliases

arxiv: 1609.01877 · arxiv_version: 1609.01877v2 · doi: 10.48550/arxiv.1609.01877 · pith_short_12: C4XPKRXXWEOC · pith_short_16: C4XPKRXXWEOCBU7P · pith_short_8: C4XPKRXX

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/C4XPKRXXWEOCBU7PAE4KA7ZVD3 \
  | 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: 172ef546f7b11c20d3ef0138a07f351eca806eaebb23a73dd19c6a155b7ac070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18b3597c7ce7fd4e2f3e6e49d1a15125bd422dca7cf1ea84945b20e37e156a79",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-07T08:37:29Z",
    "title_canon_sha256": "5f460b503233e9eecc831156e339197599dbcca51fd6e538975d64c92060c5a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01877",
    "kind": "arxiv",
    "version": 2
  }
}