Pith Number

pith:ALY4CU6F

pith:2012:ALY4CU6FKA3T42SDZ2QJD2RBWN

not attested not anchored not stored refs pending

Riemann-Roch for Deligne-Mumford stacks

Dan Edidin

arxiv:1205.4742 v2 · 2012-05-21 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALY4CU6FKA3T42SDZ2QJD2RBWN}

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.

Cited by

1 paper in Pith

Fixed point locus of Moduli spaces of Sheaves on Toric DM stacks

Receipt and verification

First computed	2026-05-18T03:41:02.405924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02f1c153c550373e6a43cea091ea21b3695eecf119a91f5cfd9f5eee9d59df7f

Aliases

arxiv: 1205.4742 · arxiv_version: 1205.4742v2 · doi: 10.48550/arxiv.1205.4742 · pith_short_12: ALY4CU6FKA3T · pith_short_16: ALY4CU6FKA3T42SD · pith_short_8: ALY4CU6F

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/ALY4CU6FKA3T42SDZ2QJD2RBWN \
  | 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: 02f1c153c550373e6a43cea091ea21b3695eecf119a91f5cfd9f5eee9d59df7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "335736becee807221c6a67dbe8d0d7a99020be6db11a279fb850d941cc30c41f",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-05-21T20:37:44Z",
    "title_canon_sha256": "ff50162e08e6058c7c9228b7f0e963729ea3b197cb90ff053d69242ae5714d5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4742",
    "kind": "arxiv",
    "version": 2
  }
}