Pith Number

pith:P4QY7VPT

pith:2011:P4QY7VPT2ZJZX3Q2UO42W7DWQ4

not attested not anchored not stored refs pending

Extended Torelli map to the Igusa blowup in genus 6, 7, and 8

Catherine Ulrich, Jaeho Shin, Joseph Tenini, Lauren Huckaba, Maxim Arap, Patrick Mcfaddin, Ryan Livingston, Stacy Musgrave, Valery Alexeev, Xiaoyan Hu

arxiv:1105.4384 v2 · 2011-05-23 · 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{P4QY7VPT2ZJZX3Q2UO42W7DWQ4}

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	2026-05-18T04:11:28.643894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f218fd5f3d6539bee1aa3b9ab7c768733640a50613e5a34f5bd5286c1a40f14

Aliases

arxiv: 1105.4384 · arxiv_version: 1105.4384v2 · doi: 10.48550/arxiv.1105.4384 · pith_short_12: P4QY7VPT2ZJZ · pith_short_16: P4QY7VPT2ZJZX3Q2 · pith_short_8: P4QY7VPT

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/P4QY7VPT2ZJZX3Q2UO42W7DWQ4 \
  | 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: 7f218fd5f3d6539bee1aa3b9ab7c768733640a50613e5a34f5bd5286c1a40f14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05bc02216c0e434403e6b3b8583f6bb8adc1c96b32cc7da8a396ace2199e1a6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-05-23T01:39:01Z",
    "title_canon_sha256": "00847432881b9df0a23909ed0c2e9df770e9c13b76189882189d066975dbc199"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4384",
    "kind": "arxiv",
    "version": 2
  }
}