Pith Number

pith:26HSCP7W

pith:2013:26HSCP7WWNJCYMTYOANY2I2GI6

not attested not anchored not stored refs pending

Global quotients among toric Deligne-Mumford stacks

Derek Krepski, Megumi Harada

arxiv:1302.0385 v1 · 2013-02-02 · math.DG · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26HSCP7WWNJCYMTYOANY2I2GI6}

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	2026-05-18T03:34:37.270980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d78f213ff6b3522c3278701b8d234647bc8864130bd6f9feeaccbba7c1aae934

Aliases

arxiv: 1302.0385 · arxiv_version: 1302.0385v1 · doi: 10.48550/arxiv.1302.0385 · pith_short_12: 26HSCP7WWNJC · pith_short_16: 26HSCP7WWNJCYMTY · pith_short_8: 26HSCP7W

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/26HSCP7WWNJCYMTYOANY2I2GI6 \
  | 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: d78f213ff6b3522c3278701b8d234647bc8864130bd6f9feeaccbba7c1aae934

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4d16696a314d67d27bee117c1636954b25bfcd8d7d02555ffaa328e6b04b17d",
    "cross_cats_sorted": [
      "math.AG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-02T14:36:41Z",
    "title_canon_sha256": "ac90e5c422f47733e655b163c8c85bed9994178db460bf666e8c66c2b266b5b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0385",
    "kind": "arxiv",
    "version": 1
  }
}