Pith Number

pith:36FA7LDT

pith:2015:36FA7LDT5ORU5BQHCBIG534RUR

not attested not anchored not stored refs pending

A Combinatorial Interpretation of the LDU Decomposition of Totally Positive Matrices

Muhammad El Gebali, Nermine El-Sissi

arxiv:1510.07675 v1 · 2015-10-26 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{36FA7LDT5ORU5BQHCBIG534RUR}

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	2026-05-18T01:29:12.914036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df8a0fac73eba34e860710506eef91a46f527d16465fbe9452bfa0e5804f31ae

Aliases

arxiv: 1510.07675 · arxiv_version: 1510.07675v1 · doi: 10.48550/arxiv.1510.07675 · pith_short_12: 36FA7LDT5ORU · pith_short_16: 36FA7LDT5ORU5BQH · pith_short_8: 36FA7LDT

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/36FA7LDT5ORU5BQHCBIG534RUR \
  | 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: df8a0fac73eba34e860710506eef91a46f527d16465fbe9452bfa0e5804f31ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ec0b39f469b5d921b86933a84fec70342c4385c789b5bfe5ec9392bbfb03377",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-26T20:53:22Z",
    "title_canon_sha256": "1d2a952e928b51f86bdac01b74a4f0831ea85ff834d2b1d39c3c788035dca3e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07675",
    "kind": "arxiv",
    "version": 1
  }
}