Pith Number

pith:CQWMD4MV

pith:2009:CQWMD4MVX5YQCUKEUBQLHE2AMA

not attested not anchored not stored refs pending

Ranks of tensors and a generalization of secant varieties

Jaros{\l}aw Buczy\'nski, J. M. Landsberg

arxiv:0909.4262 v5 · 2009-09-23 · 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{CQWMD4MVX5YQCUKEUBQLHE2AMA}

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	2026-05-18T02:50:50.727423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

142cc1f195bf71015144a060b393406018e734f39773320c66e0a3032f5f3be9

Aliases

arxiv: 0909.4262 · arxiv_version: 0909.4262v5 · doi: 10.48550/arxiv.0909.4262 · pith_short_12: CQWMD4MVX5YQ · pith_short_16: CQWMD4MVX5YQCUKE · pith_short_8: CQWMD4MV

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/CQWMD4MVX5YQCUKEUBQLHE2AMA \
  | 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: 142cc1f195bf71015144a060b393406018e734f39773320c66e0a3032f5f3be9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1c6a90ff42d6c9fcdf581985eba7933413ff5840c6f7736183d56793802d21a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-09-23T18:09:26Z",
    "title_canon_sha256": "d2985cd34216f762160f2bab65590b0d07e676d2bebd4b512ded8e01ba7862a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4262",
    "kind": "arxiv",
    "version": 5
  }
}