Pith Number

pith:P7PCDZ7X

pith:2013:P7PCDZ7XBZNOJMGEG4QYAH2ZH2

not attested not anchored not stored refs pending

p-Buchsbaum rank 2 bundles on the projective space

Marcos Jardim, Simone Marchesi

arxiv:1309.0447 v3 · 2013-09-02 · 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{P7PCDZ7XBZNOJMGEG4QYAH2ZH2}

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	2026-05-18T02:48:09.939789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fde21e7f70e5ae4b0c43721801f593ea298b6eda23a327df6020f442fa22cd1

Aliases

arxiv: 1309.0447 · arxiv_version: 1309.0447v3 · doi: 10.48550/arxiv.1309.0447 · pith_short_12: P7PCDZ7XBZNO · pith_short_16: P7PCDZ7XBZNOJMGE · pith_short_8: P7PCDZ7X

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/P7PCDZ7XBZNOJMGEG4QYAH2ZH2 \
  | 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: 7fde21e7f70e5ae4b0c43721801f593ea298b6eda23a327df6020f442fa22cd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "367f293175334eed9e667a14de3e45e2d019c5c076c84473f1e8f9bf49cfcb2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-02T15:57:43Z",
    "title_canon_sha256": "a5d605aef2b7b9b1a0ca392950e6650605f01e3cc4a357323002c01d7586d19f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0447",
    "kind": "arxiv",
    "version": 3
  }
}