Pith Number

pith:656NIL3O

pith:2011:656NIL3ODC4Y5HRQGY7W46I2Q5

not attested not anchored not stored refs pending

Chern classes of rank two globally generated vector bundles on P^2

Philippe Ellia

arxiv:1111.5718 v2 · 2011-11-24 · 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{656NIL3ODC4Y5HRQGY7W46I2Q5}

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	2026-05-18T03:40:03.276794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f77cd42f6e18b98e9e30363f6e791a874a3f10c79ebd9864ac51bc85f502a2e8

Aliases

arxiv: 1111.5718 · arxiv_version: 1111.5718v2 · doi: 10.48550/arxiv.1111.5718 · pith_short_12: 656NIL3ODC4Y · pith_short_16: 656NIL3ODC4Y5HRQ · pith_short_8: 656NIL3O

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/656NIL3ODC4Y5HRQGY7W46I2Q5 \
  | 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: f77cd42f6e18b98e9e30363f6e791a874a3f10c79ebd9864ac51bc85f502a2e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b97ede745bf10b69f5f726f5f7e49880a73d75fb95fa6c82ac7778296e1f57d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-24T11:02:03Z",
    "title_canon_sha256": "850580d246701c7e29a55b6389a042bd8c038c745b1164c4c9e98a09e71702c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5718",
    "kind": "arxiv",
    "version": 2
  }
}