Pith Number

pith:L74CISFR

pith:2011:L74CISFREJZIQN3AHTJGTVWNB3

not attested not anchored not stored refs pending

Probabilistic analysis of the Grassmann condition number

Dennis Amelunxen, Peter B\"urgisser

arxiv:1112.2603 v2 · 2011-12-12 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L74CISFREJZIQN3AHTJGTVWNB3}

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	2026-05-18T03:18:51.920926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ff82448b122728837603cd269d6cd0edb19c57d54e5a911b2ebd59f69aeb4d8

Aliases

arxiv: 1112.2603 · arxiv_version: 1112.2603v2 · doi: 10.48550/arxiv.1112.2603 · pith_short_12: L74CISFREJZI · pith_short_16: L74CISFREJZIQN3A · pith_short_8: L74CISFR

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/L74CISFREJZIQN3AHTJGTVWNB3 \
  | 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: 5ff82448b122728837603cd269d6cd0edb19c57d54e5a911b2ebd59f69aeb4d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a23c1cc84092c5fdd0d56cd5e3a7f142beecb45d7dea9b4a88fd6a5812c6dc5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-12-12T16:17:07Z",
    "title_canon_sha256": "ee7106cbf4d93e99a7d4219644f74b677887cb8975a651f3704c58f61babce7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2603",
    "kind": "arxiv",
    "version": 2
  }
}