Pith Number

pith:BMFOMYBV

pith:2009:BMFOMYBV2U6J5RRE33QM7YIF7Z

not attested not anchored not stored refs pending

The moduli space of stable quotients

A. Marian, D. Oprea, R. Pandharipande

arxiv:0904.2992 v3 · 2009-04-20 · 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{BMFOMYBV2U6J5RRE33QM7YIF7Z}

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	2026-05-18T02:38:18.869737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b0ae66035d53c9ec624dee0cfe105fe415b7fe24d54ac3044331d4365a13bc8

Aliases

arxiv: 0904.2992 · arxiv_version: 0904.2992v3 · doi: 10.48550/arxiv.0904.2992 · pith_short_12: BMFOMYBV2U6J · pith_short_16: BMFOMYBV2U6J5RRE · pith_short_8: BMFOMYBV

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/BMFOMYBV2U6J5RRE33QM7YIF7Z \
  | 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: 0b0ae66035d53c9ec624dee0cfe105fe415b7fe24d54ac3044331d4365a13bc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1b57c18735aac1b013e31fc0826be79e8e6799cf12584255ffac23c7a163bc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-04-20T09:45:19Z",
    "title_canon_sha256": "924651e24de42c14c9f1bf8977836783c7131d65be1ee5daf7c4f61cfdd47d96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2992",
    "kind": "arxiv",
    "version": 3
  }
}