Pith Number

pith:TQEY2VU3

pith:2013:TQEY2VU3F57KW6U6GYTFNZ3QJF

not attested not anchored not stored refs pending

Schwarzenberger bundles on smooth projective varieties

Enrique Arrondo, Helena Soares, Simone Marchesi

arxiv:1306.0746 v2 · 2013-06-04 · 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{TQEY2VU3F57KW6U6GYTFNZ3QJF}

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	2026-05-18T02:57:52.907031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c098d569b2f7eab7a9e362656e77049445e0df0ddbb46ca723ba5ff3b011344

Aliases

arxiv: 1306.0746 · arxiv_version: 1306.0746v2 · doi: 10.48550/arxiv.1306.0746 · pith_short_12: TQEY2VU3F57K · pith_short_16: TQEY2VU3F57KW6U6 · pith_short_8: TQEY2VU3

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/TQEY2VU3F57KW6U6GYTFNZ3QJF \
  | 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: 9c098d569b2f7eab7a9e362656e77049445e0df0ddbb46ca723ba5ff3b011344

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25e6caf50ee324b8f4ba8afa478fead66e2648517a37a0b3bc1343fb4835cd47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-06-04T12:34:08Z",
    "title_canon_sha256": "fdae8832c3de7f167f8581ff9e908c1eea49cb24f1a9f6832391faf65520f3f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0746",
    "kind": "arxiv",
    "version": 2
  }
}