Pith Number

pith:MNMWOQZQ

pith:2025:MNMWOQZQEH5HO4WFIR4VILJKRL

not attested not anchored not stored refs pending

Randomized biorthogonalization through a two-sided Gram-Schmidt process

Igor Simunec, Laura Grigori, Lorenzo Piccinini

arxiv:2509.04386 v1 · 2025-09-04 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MNMWOQZQEH5HO4WFIR4VILJKRL}

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	2026-07-05T12:04:58.706464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

635967433021fa7772c54479542d2a8aece1023d5f1a00c06bb46672fc647493

Aliases

arxiv: 2509.04386 · arxiv_version: 2509.04386v1 · doi: 10.48550/arxiv.2509.04386 · pith_short_12: MNMWOQZQEH5H · pith_short_16: MNMWOQZQEH5HO4WF · pith_short_8: MNMWOQZQ

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/MNMWOQZQEH5HO4WFIR4VILJKRL \
  | 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: 635967433021fa7772c54479542d2a8aece1023d5f1a00c06bb46672fc647493

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fdf7055bcc64f14aeaff83b8f5f063b813e4c2e86060c25f96467bb86317477",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-09-04T16:49:50Z",
    "title_canon_sha256": "1bde946fa4be6a0f729bce5bec5881f5409fc7675fbf0389ed0503843135219d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.04386",
    "kind": "arxiv",
    "version": 1
  }
}