Pith Number

pith:KHGVWCRO

pith:2008:KHGVWCROETAN5C445R5QCK4K7U

not attested not anchored not stored refs pending

Some index formulae on the moduli space of stable parabolic vector bundles

Frederic Rochon, Pierre Albin

arxiv:0812.2223 v3 · 2008-12-11 · math.DG · 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{KHGVWCROETAN5C445R5QCK4K7U}

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	2026-05-18T03:15:34.746026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51cd5b0a2e24c0de8b9cec7b012b8afd14d2dbce339dd8fe646fc43a6512f00c

Aliases

arxiv: 0812.2223 · arxiv_version: 0812.2223v3 · doi: 10.48550/arxiv.0812.2223 · pith_short_12: KHGVWCROETAN · pith_short_16: KHGVWCROETAN5C44 · pith_short_8: KHGVWCRO

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/KHGVWCROETAN5C445R5QCK4K7U \
  | 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: 51cd5b0a2e24c0de8b9cec7b012b8afd14d2dbce339dd8fe646fc43a6512f00c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "859e05bf7222669f9a908216d64af4cef2242211a844bfe756df5e604a95e309",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-12-11T18:57:43Z",
    "title_canon_sha256": "0514c23a515277e1c31cef92a8f71a5803a8d3d9ada8c2d84b5b3e49e614fcf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2223",
    "kind": "arxiv",
    "version": 3
  }
}