Pith Number

pith:MPCSCNTD

pith:2011:MPCSCNTDSRQOV6TZKA7O5W2K4R

not attested not anchored not stored refs pending

A study of singularities on rational curves via syzygies

Andrew R. Kustin, Bernd Ulrich, Claudia Polini, David Cox

arxiv:1102.5072 v2 · 2011-02-24 · 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{MPCSCNTDSRQOV6TZKA7O5W2K4R}

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	2026-05-18T04:02:52.848682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63c52136639460eafa79503eeedb4ae45fd850f7467e879919e63f7820fec246

Aliases

arxiv: 1102.5072 · arxiv_version: 1102.5072v2 · doi: 10.48550/arxiv.1102.5072 · pith_short_12: MPCSCNTDSRQO · pith_short_16: MPCSCNTDSRQOV6TZ · pith_short_8: MPCSCNTD

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/MPCSCNTDSRQOV6TZKA7O5W2K4R \
  | 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: 63c52136639460eafa79503eeedb4ae45fd850f7467e879919e63f7820fec246

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "770bc3ff1f0192de407b3fdb1e1c915daa0e4a48488a5276bdb45aabd9e0eeec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-02-24T19:43:36Z",
    "title_canon_sha256": "4f5b45cb29bd7afabe017a5929ebe55c1a5e2355928a11fdf2f087fa553027ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5072",
    "kind": "arxiv",
    "version": 2
  }
}