Pith Number

pith:XSAEC7TU

pith:2010:XSAEC7TU3LBQJKOIOY45C4WUGB

not attested not anchored not stored refs pending

The Minimum-Rank Gram Matrix Completion via Modified Fixed Point Continuation Method

Lihong Zhi, Yue Ma

arxiv:1011.6495 v3 · 2010-11-30 · math.OC · cs.NA · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XSAEC7TU3LBQJKOIOY45C4WUGB}

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	2026-05-18T04:30:36.107998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc80417e74dac304a9c87639d172d4304984cb88b545b53abd728b3ab1102972

Aliases

arxiv: 1011.6495 · arxiv_version: 1011.6495v3 · doi: 10.48550/arxiv.1011.6495 · pith_short_12: XSAEC7TU3LBQ · pith_short_16: XSAEC7TU3LBQJKOI · pith_short_8: XSAEC7TU

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/XSAEC7TU3LBQJKOIOY45C4WUGB \
  | 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: bc80417e74dac304a9c87639d172d4304984cb88b545b53abd728b3ab1102972

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9094277d60fa04e6d2b9d951502df92773e575a2b80f56845bd879e31725e497",
    "cross_cats_sorted": [
      "cs.NA",
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-11-30T09:31:52Z",
    "title_canon_sha256": "d3edf1de9ccacfa1d591d7c6ada50219eb97757ecadffbcfdcaee0d73217cfae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6495",
    "kind": "arxiv",
    "version": 3
  }
}