Pith Number

pith:BGX2AIXV

pith:2005:BGX2AIXVWWD4D7PCRTAGH7UWYC

not attested not anchored not stored refs pending

Semistability of certain bundles on a quintic Calabi-Yau threefold

Maria Chiara Brambilla

arxiv:math/0509599 v1 · 2005-09-26 · 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{BGX2AIXVWWD4D7PCRTAGH7UWYC}

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	2026-05-18T04:31:30.135668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09afa022f5b587c1fde28cc063fe96c089477c5ba505564b83d68b8674227861

Aliases

arxiv: math/0509599 · arxiv_version: math/0509599v1 · doi: 10.48550/arxiv.math/0509599 · pith_short_12: BGX2AIXVWWD4 · pith_short_16: BGX2AIXVWWD4D7PC · pith_short_8: BGX2AIXV

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/BGX2AIXVWWD4D7PCRTAGH7UWYC \
  | 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: 09afa022f5b587c1fde28cc063fe96c089477c5ba505564b83d68b8674227861

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "864cad39875fb4395e0624da26c37f6caad1753dd12e26b13b2dbd57f3d20470",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-09-26T13:23:36Z",
    "title_canon_sha256": "32cdcc0f1377b35f7cdc913139a0dc07f26e97353d33b7503f09e6e8a836c252"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509599",
    "kind": "arxiv",
    "version": 1
  }
}