Pith Number

pith:NRGNZPVN

pith:2011:NRGNZPVNL4L35WKCD3C5OGJUFI

not attested not anchored not stored refs pending

Rational parametrizations of moduli spaces of curves

Alessandro Verra

arxiv:1112.6095 v1 · 2011-12-28 · 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{NRGNZPVNL4L35WKCD3C5OGJUFI}

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	2026-05-18T04:05:36.827855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c4cdcbead5f17bed9421ec5d719342a01fa176f8c259d37242daaa45f021ef1

Aliases

arxiv: 1112.6095 · arxiv_version: 1112.6095v1 · doi: 10.48550/arxiv.1112.6095 · pith_short_12: NRGNZPVNL4L3 · pith_short_16: NRGNZPVNL4L35WKC · pith_short_8: NRGNZPVN

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/NRGNZPVNL4L35WKCD3C5OGJUFI \
  | 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: 6c4cdcbead5f17bed9421ec5d719342a01fa176f8c259d37242daaa45f021ef1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21521730ee0ff7b9bc6ae297bc219a83ea4a1d5857eb15e5f11ade09c3dc5b38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-28T10:47:14Z",
    "title_canon_sha256": "a3829280769105fd19a8fd76df78cd725ed79263b6dfadb2b8fc66d78136ea7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6095",
    "kind": "arxiv",
    "version": 1
  }
}