Pith Number

pith:IUIELU7Z

pith:2015:IUIELU7ZZZTNBJEJPNN3GFALL2

not attested not anchored not stored refs pending

Positivity of line bundles on general blow ups of $\mathbb{P}^2$

Krishna Hanumanthu

arxiv:1507.06391 v3 · 2015-07-23 · 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{IUIELU7ZZZTNBJEJPNN3GFALL2}

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	2026-05-18T01:01:52.230015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

451045d3f9ce66d0a4897b5bb3140b5e942b89951c433d1d41a6e5b97045dc21

Aliases

arxiv: 1507.06391 · arxiv_version: 1507.06391v3 · doi: 10.48550/arxiv.1507.06391 · pith_short_12: IUIELU7ZZZTN · pith_short_16: IUIELU7ZZZTNBJEJ · pith_short_8: IUIELU7Z

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/IUIELU7ZZZTNBJEJPNN3GFALL2 \
  | 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: 451045d3f9ce66d0a4897b5bb3140b5e942b89951c433d1d41a6e5b97045dc21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bdcc9cfec7872fe06ca450668cf5b68d927c6c79a67843ef738f0b796f95bdd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-23T06:05:15Z",
    "title_canon_sha256": "1bb60bdc1d7c4939ac0b889289e11017c91352cd72ab1e2cb56e79d4bc435cb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06391",
    "kind": "arxiv",
    "version": 3
  }
}