Pith Number

pith:NODAV4DN

pith:2016:NODAV4DNKXOLJTFD7VYQUQPEYN

not attested not anchored not stored refs pending

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

Krishna Hanumanthu

arxiv:1608.05490 v3 · 2016-08-19 · 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{NODAV4DNKXOLJTFD7VYQUQPEYN}

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	2026-05-18T00:53:17.350436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b860af06d55dcb4cca3fd710a41e4c37efe119b0828dc1f4fad331b57da7013

Aliases

arxiv: 1608.05490 · arxiv_version: 1608.05490v3 · doi: 10.48550/arxiv.1608.05490 · pith_short_12: NODAV4DNKXOL · pith_short_16: NODAV4DNKXOLJTFD · pith_short_8: NODAV4DN

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/NODAV4DNKXOLJTFD7VYQUQPEYN \
  | 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: 6b860af06d55dcb4cca3fd710a41e4c37efe119b0828dc1f4fad331b57da7013

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad14002fea6aef32247e1d11f756ea38d31c316625ede590303e3794607cb133",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-08-19T04:52:26Z",
    "title_canon_sha256": "69e0082e84fbc135c4b58b9aa33c383af516fb401f5f0f4041aeff0cf0c6ff3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05490",
    "kind": "arxiv",
    "version": 3
  }
}