Pith Number

pith:DVG4JKKZ

pith:2009:DVG4JKKZFT2KLMOYA4JZFXD342

not attested not anchored not stored refs pending

The equivariant Euler characteristic of moduli spaces of curves

E. Gorsky

arxiv:0906.0841 v3 · 2009-06-04 · math.AG · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DVG4JKKZFT2KLMOYA4JZFXD342}

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	2026-05-18T03:06:22.904553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d4dc4a9592cf4a5b1d8071392dc7be6bb9169b08b52dd3aa9b75758a8412718

Aliases

arxiv: 0906.0841 · arxiv_version: 0906.0841v3 · doi: 10.48550/arxiv.0906.0841 · pith_short_12: DVG4JKKZFT2K · pith_short_16: DVG4JKKZFT2KLMOY · pith_short_8: DVG4JKKZ

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/DVG4JKKZFT2KLMOYA4JZFXD342 \
  | 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: 1d4dc4a9592cf4a5b1d8071392dc7be6bb9169b08b52dd3aa9b75758a8412718

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6d0f84ac1a12c709067e7705b85c7f7c0c9c8a8f3782a0925e5f0bed76307bd",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-06-04T06:40:28Z",
    "title_canon_sha256": "a3c5351b2ea042ba12d61c95a450eff69db7c2e6d527149e3481c32f87f905e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0841",
    "kind": "arxiv",
    "version": 3
  }
}