Pith Number

pith:FUAPL6ZF

pith:2010:FUAPL6ZFMDVLB4YZVQUH2EQVRY

not attested not anchored not stored refs pending

A Unique "Nonnegative" Solution to an Underdetermined System: from Vectors to Matrices

Ao Tang, Meng Wang, Weiyu Xu

arxiv:1003.4778 v1 · 2010-03-24 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FUAPL6ZFMDVLB4YZVQUH2EQVRY}

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	2026-05-18T01:29:12.185053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d00f5fb2560eab0f319ac287d12158e30da064060aa83d09d595fbcb929b731

Aliases

arxiv: 1003.4778 · arxiv_version: 1003.4778v1 · doi: 10.48550/arxiv.1003.4778 · pith_short_12: FUAPL6ZFMDVL · pith_short_16: FUAPL6ZFMDVLB4YZ · pith_short_8: FUAPL6ZF

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/FUAPL6ZFMDVLB4YZVQUH2EQVRY \
  | 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: 2d00f5fb2560eab0f319ac287d12158e30da064060aa83d09d595fbcb929b731

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edfc002d31046af075d1c4f3bbc74545980c90b69dff61469077a1e4866c5272",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-03-24T23:55:21Z",
    "title_canon_sha256": "676abaa84be4ff9215a6a461d4baa4ec7c46932766003fc08aef6b2b515e7058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4778",
    "kind": "arxiv",
    "version": 1
  }
}