Pith Number

pith:2GHZMNCQ

pith:2008:2GHZMNCQUUHVXXOXN57BARAOA2

not attested not anchored not stored refs pending

Regularity and Cohomological Splitting Conditions for Vector Bundles on Multiprojective Spaces

Edoardo Ballico, Francesco Malaspina

arxiv:0802.0960 v3 · 2008-02-07 · math.AG · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GHZMNCQUUHVXXOXN57BARAOA2}

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	2026-05-18T04:14:46.355814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d18f963450a50f5bddd76f7e10440e06a19c8487476011f5e2eb022f859ddacb

Aliases

arxiv: 0802.0960 · arxiv_version: 0802.0960v3 · doi: 10.48550/arxiv.0802.0960 · pith_short_12: 2GHZMNCQUUHV · pith_short_16: 2GHZMNCQUUHVXXOX · pith_short_8: 2GHZMNCQ

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/2GHZMNCQUUHVXXOXN57BARAOA2 \
  | 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: d18f963450a50f5bddd76f7e10440e06a19c8487476011f5e2eb022f859ddacb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "335575e042e4cc6a1286d97a5db6e8906bafb867e1442ce5ab8408130a6503a4",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-02-07T12:30:56Z",
    "title_canon_sha256": "ce453318d7e8de6d1ebe87173230e963f5f994a8c88001c272919d90da53eb0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.0960",
    "kind": "arxiv",
    "version": 3
  }
}