Pith Number

pith:QCS75DQZ

pith:2011:QCS75DQZAAOHGLYWB3NGDNYFF6

not attested not anchored not stored refs pending

Relations between the minors of a generic matrix

Aldo Conca, Matteo Varbaro, Winfried Bruns

arxiv:1111.7263 v3 · 2011-11-30 · math.AC · math.AG · math.CO · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QCS75DQZAAOHGLYWB3NGDNYFF6}

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	2026-05-18T03:25:59.664009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80a5fe8e19001c732f160eda61b7052f80a04dd3c20fd4c196f323429ed54e08

Aliases

arxiv: 1111.7263 · arxiv_version: 1111.7263v3 · doi: 10.48550/arxiv.1111.7263 · pith_short_12: QCS75DQZAAOH · pith_short_16: QCS75DQZAAOHGLYW · pith_short_8: QCS75DQZ

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/QCS75DQZAAOHGLYWB3NGDNYFF6 \
  | 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: 80a5fe8e19001c732f160eda61b7052f80a04dd3c20fd4c196f323429ed54e08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "564b8c8a9ebb250e33074558d89482d29bd83627c923b56099b6ea935c1c3104",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-11-30T18:22:10Z",
    "title_canon_sha256": "c4ee05aeeee5f66853036da150c9d50dba5fdacd9a29569bc503c78bb5e5645a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.7263",
    "kind": "arxiv",
    "version": 3
  }
}