Pith Number

pith:Y34DWN4O

pith:2012:Y34DWN4O4GZRU5FR63BB7BKY4X

not attested not anchored not stored refs pending

Reconstructing vector bundles on curves from their direct image on symmetric powers

D. S. Nagaraj, Indranil Biswas

arxiv:1208.3807 v1 · 2012-08-19 · 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{Y34DWN4O4GZRU5FR63BB7BKY4X}

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	2026-05-18T03:48:26.163663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6f83b378ee1b31a74b1f6c21f8558e5d346a91fedc82a6f75efcd1653248fe2

Aliases

arxiv: 1208.3807 · arxiv_version: 1208.3807v1 · doi: 10.48550/arxiv.1208.3807 · pith_short_12: Y34DWN4O4GZR · pith_short_16: Y34DWN4O4GZRU5FR · pith_short_8: Y34DWN4O

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/Y34DWN4O4GZRU5FR63BB7BKY4X \
  | 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: c6f83b378ee1b31a74b1f6c21f8558e5d346a91fedc82a6f75efcd1653248fe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ff8e28328badc069e36b8f0cf8d79356935d3e9e91dbee8ccbad77b917a7dfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-08-19T04:15:51Z",
    "title_canon_sha256": "ed2adf75d3ec984c3eb17f8fdf410d8da8ea8843db9be4f5b6829e5267145140"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3807",
    "kind": "arxiv",
    "version": 1
  }
}