Pith Number

pith:5IHELIVS

pith:2009:5IHELIVSJWN6VCL5DWCVJNQPOZ

not attested not anchored not stored refs pending

On rational maps between moduli spaces of curves and of vector bundles

Alberto Alzati, Michele Bolognesi

arxiv:0903.5515 v4 · 2009-03-31 · 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{5IHELIVSJWN6VCL5DWCVJNQPOZ}

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	2026-05-18T03:30:12.887934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea0e45a2b24d9bea897d1d8554b60f76433b94c145da69510428bc816d69653e

Aliases

arxiv: 0903.5515 · arxiv_version: 0903.5515v4 · doi: 10.48550/arxiv.0903.5515 · pith_short_12: 5IHELIVSJWN6 · pith_short_16: 5IHELIVSJWN6VCL5 · pith_short_8: 5IHELIVS

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/5IHELIVSJWN6VCL5DWCVJNQPOZ \
  | 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: ea0e45a2b24d9bea897d1d8554b60f76433b94c145da69510428bc816d69653e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f3495765b4b37f1e1af32bc957cefa59de6b49313d7743af94ee32461fdc623",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-03-31T16:32:47Z",
    "title_canon_sha256": "f1945c3c5aff06632376dce84db49bf7e8375568c69d3088c2b68688f87c714f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.5515",
    "kind": "arxiv",
    "version": 4
  }
}