Pith Number

pith:3LCK46XW

pith:2012:3LCK46XWHH7PLXDFI7DJO7VRMT

not attested not anchored not stored refs pending

Matrix factorizations and semi-orthogonal decompositions for blowing-ups

Olaf M. Schn\"urer, Valery A. Lunts

arxiv:1212.2670 v2 · 2012-12-11 · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3LCK46XWHH7PLXDFI7DJO7VRMT}

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	2026-05-18T03:09:12.978980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dac4ae7af639fef5dc6547c6977eb164e3e40a64fdbc4dafb7011ffb4e5d994a

Aliases

arxiv: 1212.2670 · arxiv_version: 1212.2670v2 · doi: 10.48550/arxiv.1212.2670 · pith_short_12: 3LCK46XWHH7P · pith_short_16: 3LCK46XWHH7PLXDF · pith_short_8: 3LCK46XW

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/3LCK46XWHH7PLXDFI7DJO7VRMT \
  | 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: dac4ae7af639fef5dc6547c6977eb164e3e40a64fdbc4dafb7011ffb4e5d994a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f5a1038afeabb7c30a64bb233b1c1932567a666e5b10ac949fad1528b0ebe7c",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-11T22:45:55Z",
    "title_canon_sha256": "08e2f2eed6b737e521ee793c00c1f7043c98e4794941042202f258d94590f8c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2670",
    "kind": "arxiv",
    "version": 2
  }
}