Pith Number

pith:B5J2LWIA

pith:2011:B5J2LWIA3G3CHPGIUPM6EC4WBQ

not attested not anchored not stored refs pending

Nefness of adjoint bundles for ample vector bundles of corank 3

Andrea Luigi Tironi

arxiv:1108.4489 v1 · 2011-08-23 · 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{B5J2LWIA3G3CHPGIUPM6EC4WBQ}

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	2026-05-18T04:14:54.474139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f53a5d900d9b623bcc8a3d9e20b960c3bb1b5f9ef357352ca8876db454d64a6

Aliases

arxiv: 1108.4489 · arxiv_version: 1108.4489v1 · doi: 10.48550/arxiv.1108.4489 · pith_short_12: B5J2LWIA3G3C · pith_short_16: B5J2LWIA3G3CHPGI · pith_short_8: B5J2LWIA

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/B5J2LWIA3G3CHPGIUPM6EC4WBQ \
  | 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: 0f53a5d900d9b623bcc8a3d9e20b960c3bb1b5f9ef357352ca8876db454d64a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47b353d6dbf30a6ad8118ea4fb4fe7a6d6d600edc732976e799c4dc5344afd9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-23T04:26:13Z",
    "title_canon_sha256": "f7a40839180c75c4fe7a16f77e6c61d34be6dd3b859725cd49c64877e5a59f5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4489",
    "kind": "arxiv",
    "version": 1
  }
}