Pith Number

pith:ZKHPNLZU

pith:2011:ZKHPNLZUF4TF3YZPX64WT2EXUZ

not attested not anchored not stored refs pending

Sparse Matrix Decompositions and Graph Characterizations

Bala Rajaratnam, Kshitij Khare

arxiv:1111.6845 v2 · 2011-11-28 · 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{ZKHPNLZUF4TF3YZPX64WT2EXUZ}

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	2026-05-18T03:59:27.151741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca8ef6af342f265de32fbfb969e897a67b120a3c5152937dafd42aaa9ebc1b29

Aliases

arxiv: 1111.6845 · arxiv_version: 1111.6845v2 · doi: 10.48550/arxiv.1111.6845 · pith_short_12: ZKHPNLZUF4TF · pith_short_16: ZKHPNLZUF4TF3YZP · pith_short_8: ZKHPNLZU

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/ZKHPNLZUF4TF3YZPX64WT2EXUZ \
  | 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: ca8ef6af342f265de32fbfb969e897a67b120a3c5152937dafd42aaa9ebc1b29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f9f23027d5f835577f10c98dafe3225e4ef743695eb9826d7bf68dc0657a48c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-28T09:07:44Z",
    "title_canon_sha256": "8444888f6a9c2d29399930915bb28648bc82fc925c79d842aedfb369c1649fc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6845",
    "kind": "arxiv",
    "version": 2
  }
}