Pith Number

pith:MJGWAI7V

pith:2011:MJGWAI7VKQV5XH2CJBQZ4ZABOY

not attested not anchored not stored refs pending

The geometry of the ball quotient model of the moduli space of genus four curves

David Jensen, Radu Laza, Sebastian Casalaina-Martin

arxiv:1109.5669 v2 · 2011-09-26 · 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{MJGWAI7VKQV5XH2CJBQZ4ZABOY}

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	2026-05-18T04:00:01.121853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

624d6023f5542bdb9f4248619e640176083a1ff032fe6acac4353789336211fb

Aliases

arxiv: 1109.5669 · arxiv_version: 1109.5669v2 · doi: 10.48550/arxiv.1109.5669 · pith_short_12: MJGWAI7VKQV5 · pith_short_16: MJGWAI7VKQV5XH2C · pith_short_8: MJGWAI7V

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/MJGWAI7VKQV5XH2CJBQZ4ZABOY \
  | 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: 624d6023f5542bdb9f4248619e640176083a1ff032fe6acac4353789336211fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2d80b29bd01b0e355ccf72f89e44d236d91c9f257e485c5ee35a2cfdc0d967f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-26T18:58:19Z",
    "title_canon_sha256": "52254b81a3814bfab6061ba06ee516ab6f450799b078b99c81b53d73cf54e275"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5669",
    "kind": "arxiv",
    "version": 2
  }
}