Pith Number

pith:L3GMMMHB

pith:2009:L3GMMMHBGQQFSB5YMKZF4YHLP6

not attested not anchored not stored refs pending

Moduli stacks of stable toric quasimaps

Bumsig Kim, Ionut Ciocan-Fontanine

arxiv:0908.4446 v2 · 2009-08-31 · 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{L3GMMMHBGQQFSB5YMKZF4YHLP6}

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	2026-05-18T04:17:13.808703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5eccc630e134205907b862b25e60eb7f80450128230ff0f31c6b6ce3c1fcdab0

Aliases

arxiv: 0908.4446 · arxiv_version: 0908.4446v2 · doi: 10.48550/arxiv.0908.4446 · pith_short_12: L3GMMMHBGQQF · pith_short_16: L3GMMMHBGQQFSB5Y · pith_short_8: L3GMMMHB

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/L3GMMMHBGQQFSB5YMKZF4YHLP6 \
  | 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: 5eccc630e134205907b862b25e60eb7f80450128230ff0f31c6b6ce3c1fcdab0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2ad10f009b4aa9ce305fb97e218837a55c147ef1a6506749d0216a44d991e18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-08-31T02:57:50Z",
    "title_canon_sha256": "de96fcc688eb33d621edb16bb6a9a39991a062d41a5e6acebfeaf66bb43f57bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.4446",
    "kind": "arxiv",
    "version": 2
  }
}