Pith Number

pith:C7TUJRGP

pith:2019:C7TUJRGP2SUIHWGGHFNRKU7KQC

not attested not anchored not stored refs pending

Universal degeneracy classes for vector bundles on $\mathbb{P}^1$ bundles

Hannah K. Larson

arxiv:1906.10290 v2 · 2019-06-25 · 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{C7TUJRGP2SUIHWGGHFNRKU7KQC}

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	2026-05-17T23:40:38.627862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17e744c4cfd4a883d8c6395b1553ea809e50f7827035bf17785e682a7f84e604

Aliases

arxiv: 1906.10290 · arxiv_version: 1906.10290v2 · doi: 10.48550/arxiv.1906.10290 · pith_short_12: C7TUJRGP2SUI · pith_short_16: C7TUJRGP2SUIHWGG · pith_short_8: C7TUJRGP

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/C7TUJRGP2SUIHWGGHFNRKU7KQC \
  | 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: 17e744c4cfd4a883d8c6395b1553ea809e50f7827035bf17785e682a7f84e604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba1e8cb91ae4c43243c6eccfe2d8d2783a0331185b97f2c0d3e2bc1f7698defa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-06-25T01:41:42Z",
    "title_canon_sha256": "bb808c06ff93f01b1df2c2b5a2e821788be6d634d045c4595d7f9a183e3e3001"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10290",
    "kind": "arxiv",
    "version": 2
  }
}