Pith Number

pith:XUNM7RKK

pith:2012:XUNM7RKKPGKU6CZP6G6NLHFIWW

not attested not anchored not stored refs pending

Singularities of the moduli space of level curves

Alessandro Chiodo, Gavril Farkas

arxiv:1205.0201 v4 · 2012-05-01 · 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{XUNM7RKKPGKU6CZP6G6NLHFIWW}

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	2026-05-18T02:26:11.015101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd1acfc54a79954f0b2ff1bcd59ca8b5943b68a83893e8d0e6c179893c5b45ed

Aliases

arxiv: 1205.0201 · arxiv_version: 1205.0201v4 · doi: 10.48550/arxiv.1205.0201 · pith_short_12: XUNM7RKKPGKU · pith_short_16: XUNM7RKKPGKU6CZP · pith_short_8: XUNM7RKK

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/XUNM7RKKPGKU6CZP6G6NLHFIWW \
  | 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: bd1acfc54a79954f0b2ff1bcd59ca8b5943b68a83893e8d0e6c179893c5b45ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e23ad197a872619e233d762c22dfdeb143bcc3e2f7f18c9120b247d24bd129ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-05-01T16:05:09Z",
    "title_canon_sha256": "f160129c52c75d879cf7ac60860facdac71197da39943ce0725c276958fe0615"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0201",
    "kind": "arxiv",
    "version": 4
  }
}