Pith Number

pith:O4EWZCSM

pith:2017:O4EWZCSMRQ6VWSQM4UA6DHPRD4

not attested not anchored not stored refs pending

A Horrocks' theorem for reflexive sheaves

Laura Costa, Rosa Maria Mir\'o-Roig, Simone Marchesi

arxiv:1712.01528 v1 · 2017-12-05 · 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{O4EWZCSMRQ6VWSQM4UA6DHPRD4}

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	2026-05-18T00:28:50.458029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77096c8a4c8c3d5b4a0ce501e19df11f217f9feb2e4a80798a210bdeac8b7321

Aliases

arxiv: 1712.01528 · arxiv_version: 1712.01528v1 · doi: 10.48550/arxiv.1712.01528 · pith_short_12: O4EWZCSMRQ6V · pith_short_16: O4EWZCSMRQ6VWSQM · pith_short_8: O4EWZCSM

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/O4EWZCSMRQ6VWSQM4UA6DHPRD4 \
  | 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: 77096c8a4c8c3d5b4a0ce501e19df11f217f9feb2e4a80798a210bdeac8b7321

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65a92c6207a647c9d2e76e234afa680d5b2ee6139e62e786f8c7afcd633bd1d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-05T08:59:54Z",
    "title_canon_sha256": "e0cfe562e8d6019b349b9062413dd61a0e7d53e9bf01a63f2e4474fd2ee276ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01528",
    "kind": "arxiv",
    "version": 1
  }
}