Pith Number

pith:66FF5DE2

pith:2012:66FF5DE26RQGKE7VUUOOVHUV2E

not attested not anchored not stored refs pending

Derived categories of functors and Fourier--Mukai transform for quiver sheaves

Marcos Jardim, Paula Olga Gneri

arxiv:1209.4307 v1 · 2012-09-19 · 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{66FF5DE26RQGKE7VUUOOVHUV2E}

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	2026-05-18T03:45:12.925089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f78a5e8c9af4606513f5a51cea9e95d1009cb225164bf1e98272f851785c3bb3

Aliases

arxiv: 1209.4307 · arxiv_version: 1209.4307v1 · doi: 10.48550/arxiv.1209.4307 · pith_short_12: 66FF5DE26RQG · pith_short_16: 66FF5DE26RQGKE7V · pith_short_8: 66FF5DE2

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/66FF5DE26RQGKE7VUUOOVHUV2E \
  | 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: f78a5e8c9af4606513f5a51cea9e95d1009cb225164bf1e98272f851785c3bb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "241680d391e997a04c0178d5f35defc9917d7fe4a76fde4cb220ee71036273d7",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-19T16:54:44Z",
    "title_canon_sha256": "30e1f5ca7f2a29dafe9aa3a196bdb4777841751e05d0548b213d3f5e145237f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4307",
    "kind": "arxiv",
    "version": 1
  }
}