Pith Number

pith:J44JV46L

pith:2015:J44JV46LEXPODORDP4UJQZE3S3

not attested not anchored not stored refs pending

Prioritary omalous bundles on Hirzebruch surfaces

Marian Aprodu, Marius Marchitan

arxiv:1506.01479 v3 · 2015-06-04 · 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{J44JV46LEXPODORDP4UJQZE3S3}

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	2026-05-18T01:29:20.888911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f389af3cb25dee1ba237f2898649b96d1d5adc4f555d0c70982177d837907b1

Aliases

arxiv: 1506.01479 · arxiv_version: 1506.01479v3 · doi: 10.48550/arxiv.1506.01479 · pith_short_12: J44JV46LEXPO · pith_short_16: J44JV46LEXPODORD · pith_short_8: J44JV46L

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/J44JV46LEXPODORDP4UJQZE3S3 \
  | 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: 4f389af3cb25dee1ba237f2898649b96d1d5adc4f555d0c70982177d837907b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eca7092a7d824d35ccf7b8d0ce4e40c3a39f81985242ad8d836f81a91ddebe7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-06-04T07:02:15Z",
    "title_canon_sha256": "0c2ab27aba4ee9a065e1fde44ffb669db72b9405890ab3dd02ddcabc06a6f0d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01479",
    "kind": "arxiv",
    "version": 3
  }
}