Pith Number

pith:GVD7PX25

pith:2022:GVD7PX2537YJIYESWNMTZI6EXG

not attested not anchored not stored refs pending

Constructive exceptional bundles on $\mathbb{P}^3$

Benjamin Gould

arxiv:2208.04984 v4 · 2022-08-09 · 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{GVD7PX2537YJIYESWNMTZI6EXG}

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.

Cited by

1 paper in Pith

Stability conditions on the canonical line bundle of $\mathbb{P}^3$

Receipt and verification

First computed	2026-07-05T08:01:57.591448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3547f7df5ddff0946092b3593ca3c4b99e19d3fd746d3b9802224314d92a055b

Aliases

arxiv: 2208.04984 · arxiv_version: 2208.04984v4 · doi: 10.48550/arxiv.2208.04984 · pith_short_12: GVD7PX2537YJ · pith_short_16: GVD7PX2537YJIYES · pith_short_8: GVD7PX25

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/GVD7PX2537YJIYESWNMTZI6EXG \
  | 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: 3547f7df5ddff0946092b3593ca3c4b99e19d3fd746d3b9802224314d92a055b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1179513704f778dbdd907d31eb2b1c08b98cc8b6097d0e2a478d5910533e06ec",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-08-09T18:26:03Z",
    "title_canon_sha256": "961b2168ae7bd5e72bc7064961da90e632022e4598b36fbb47c1ec4c9e11cc22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.04984",
    "kind": "arxiv",
    "version": 4
  }
}