Pith Number

pith:T6KL43HD

pith:2013:T6KL43HDF3J4QWLVP4D3IK6FRE

not attested not anchored not stored refs pending

Partial positivity: geometry and cohomology of q-ample line bundles

Alex K\"uronya, Daniel Greb

arxiv:1307.5568 v2 · 2013-07-21 · 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{T6KL43HDF3J4QWLVP4D3IK6FRE}

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	2026-05-18T02:18:41.117817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f94be6ce32ed3c859757f07b42bc589370742a03fbd080a40241cfd2a23e566

Aliases

arxiv: 1307.5568 · arxiv_version: 1307.5568v2 · doi: 10.48550/arxiv.1307.5568 · pith_short_12: T6KL43HDF3J4 · pith_short_16: T6KL43HDF3J4QWLV · pith_short_8: T6KL43HD

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/T6KL43HDF3J4QWLVP4D3IK6FRE \
  | 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: 9f94be6ce32ed3c859757f07b42bc589370742a03fbd080a40241cfd2a23e566

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d06bae0abb574c909902196d14d4bf90149f1b10bb7d1b8b7921fa5abd29313a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-21T21:45:10Z",
    "title_canon_sha256": "bfd713d3f878ccfeaa08e5df3b0c4f11b27931f25b546db262ff6c57a8fba94e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5568",
    "kind": "arxiv",
    "version": 2
  }
}