Pith Number

pith:ZIROEXTG

pith:2009:ZIROEXTGZNVEEOKEK37QW3JC46

not attested not anchored not stored refs pending

Semistable and numerically effective principal (Higgs) bundles

Beatriz Gra\~na Otero, Ugo Bruzzo

arxiv:0905.2870 v3 · 2009-05-18 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZIROEXTGZNVEEOKEK37QW3JC46}

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	2026-05-18T04:30:04.713581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca22e25e66cb6a42394456ff0b6d22e7b137645c74cf1e63b2fa1996ec0c5e63

Aliases

arxiv: 0905.2870 · arxiv_version: 0905.2870v3 · doi: 10.48550/arxiv.0905.2870 · pith_short_12: ZIROEXTGZNVE · pith_short_16: ZIROEXTGZNVEEOKE · pith_short_8: ZIROEXTG

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/ZIROEXTGZNVEEOKEK37QW3JC46 \
  | 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: ca22e25e66cb6a42394456ff0b6d22e7b137645c74cf1e63b2fa1996ec0c5e63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b9287be79473c954791ac1c2e1febb865f33af303b48646d4aed26044814c51",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-05-18T12:08:04Z",
    "title_canon_sha256": "cadd12e816557c135c816b3b291951cbaad5bb6f072e9881494e3dc4c890bd3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2870",
    "kind": "arxiv",
    "version": 3
  }
}