Pith Number

pith:2O4GPQMZ

pith:2017:2O4GPQMZBFBB7Z2ZDUOWBMUXYG

not attested not anchored not stored refs pending

Fourier-Mukai transforms of slope stable torsion-free sheaves on Weierstrass elliptic surfaces

Jason Lo

arxiv:1710.04652 v1 · 2017-10-12 · 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{2O4GPQMZBFBB7Z2ZDUOWBMUXYG}

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	2026-05-18T00:32:57.083401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3b867c19909421fe7591d1d60b297c1b06634584f04a108154a1b754780437a

Aliases

arxiv: 1710.04652 · arxiv_version: 1710.04652v1 · doi: 10.48550/arxiv.1710.04652 · pith_short_12: 2O4GPQMZBFBB · pith_short_16: 2O4GPQMZBFBB7Z2Z · pith_short_8: 2O4GPQMZ

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/2O4GPQMZBFBB7Z2ZDUOWBMUXYG \
  | 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: d3b867c19909421fe7591d1d60b297c1b06634584f04a108154a1b754780437a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cecb39a6315a28ab01e610335b77ad34894e4405438f8405d6b1bd2b6b785a9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-10-12T09:07:37Z",
    "title_canon_sha256": "cb86f2632673da4d6304efec806b0ad4ffdca1d1d371c5548f83ae2d3710c9d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04652",
    "kind": "arxiv",
    "version": 1
  }
}