Pith Number

pith:GFXNW2YY

pith:2017:GFXNW2YYSYDRWYGSPUJS5RU6IS

not attested not anchored not stored refs pending

Ampleness equivalence and dominance for vector bundles

F. Laytimi, W. Nahm

arxiv:1706.07353 v1 · 2017-06-22 · 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{GFXNW2YYSYDRWYGSPUJS5RU6IS}

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	2026-05-18T00:41:51.912537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

316edb6b1896071b60d27d132ec69e448fd2277ee2f5e67fa13dc153e78c1317

Aliases

arxiv: 1706.07353 · arxiv_version: 1706.07353v1 · doi: 10.48550/arxiv.1706.07353 · pith_short_12: GFXNW2YYSYDR · pith_short_16: GFXNW2YYSYDRWYGS · pith_short_8: GFXNW2YY

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/GFXNW2YYSYDRWYGSPUJS5RU6IS \
  | 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: 316edb6b1896071b60d27d132ec69e448fd2277ee2f5e67fa13dc153e78c1317

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87fee1685cb562a4ef5f52353daae9c0515d6b0c9517c43741bcad416e1ed584",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-06-22T15:04:49Z",
    "title_canon_sha256": "01ebf605cbab5b3f94fd8963870c3fa3f6b944a95d4c70066322f421afa6af4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07353",
    "kind": "arxiv",
    "version": 1
  }
}