Pith Number

pith:F7AGYYAI

pith:2013:F7AGYYAIVGUWMQGQST7MRYLJN6

not attested not anchored not stored refs pending

DG-resolutions of NC-smooth thickenings and NC-Fourier-Mukai transforms

Alexander Polishchuk, Junwu Tu

arxiv:1308.4244 v1 · 2013-08-20 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F7AGYYAIVGUWMQGQST7MRYLJN6}

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	2026-05-18T03:15:33.352368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fc06c6008a9a96640d094fec8e1696fb2a780b0a8c1450ac086757308ae06b2

Aliases

arxiv: 1308.4244 · arxiv_version: 1308.4244v1 · doi: 10.48550/arxiv.1308.4244 · pith_short_12: F7AGYYAIVGUW · pith_short_16: F7AGYYAIVGUWMQGQ · pith_short_8: F7AGYYAI

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/F7AGYYAIVGUWMQGQST7MRYLJN6 \
  | 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: 2fc06c6008a9a96640d094fec8e1696fb2a780b0a8c1450ac086757308ae06b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e771e8c1038c340dbf7ae9a25c8f71465fa29357d520464e5fa0bef65be1741e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-08-20T07:37:30Z",
    "title_canon_sha256": "01a9dc640002bbd8a05c3a579deb512baae218be0a1fe5904971ec435263a5ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4244",
    "kind": "arxiv",
    "version": 1
  }
}