Pith Number

pith:XFSSIRNA

pith:2012:XFSSIRNAZK222KKUITFK3LYTYQ

not attested not anchored not stored refs pending

Proper local complete intersection morphisms preserve perfect complexes

B. To\"en

arxiv:1210.2827 v2 · 2012-10-10 · 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{XFSSIRNAZK222KKUITFK3LYTYQ}

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

2 papers in Pith

Moduli stacks of Higgs bundles on stable curves

Functoriality of logarithmic Hochschild homology of log smooth pairs

Receipt and verification

First computed	2026-05-18T03:43:17.642761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9652445a0cab5ad295444caadaf13c421f013a64ca0d8221e64b09d6d75f264

Aliases

arxiv: 1210.2827 · arxiv_version: 1210.2827v2 · doi: 10.48550/arxiv.1210.2827 · pith_short_12: XFSSIRNAZK22 · pith_short_16: XFSSIRNAZK222KKU · pith_short_8: XFSSIRNA

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/XFSSIRNAZK222KKUITFK3LYTYQ \
  | 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: b9652445a0cab5ad295444caadaf13c421f013a64ca0d8221e64b09d6d75f264

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9f100f3d049fe39f1b12bc22378b7493cfcbc4314904ebd609c6ad9cec15961",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-10T08:27:28Z",
    "title_canon_sha256": "ca0860efd7e9b07b2b351ca3dbb4e52580718586bf49ec9c5983eaceb25cf4e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2827",
    "kind": "arxiv",
    "version": 2
  }
}