Pith Number

pith:WUFRJIGL

pith:2009:WUFRJIGLIGMLBQSEUX763SJQ75

not attested not anchored not stored refs pending

A characterization of trace zero symmetric nonnegative 5x5 matrices

Oren Spector

arxiv:0903.5519 v2 · 2009-03-31 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUFRJIGLIGMLBQSEUX763SJQ75}

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	2026-05-18T02:55:48.819095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b50b14a0cb4198b0c244a5ffedc930ff5ec52d29f36c33469bc6818015f6d6cd

Aliases

arxiv: 0903.5519 · arxiv_version: 0903.5519v2 · doi: 10.48550/arxiv.0903.5519 · pith_short_12: WUFRJIGLIGML · pith_short_16: WUFRJIGLIGMLBQSE · pith_short_8: WUFRJIGL

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/WUFRJIGLIGMLBQSEUX763SJQ75 \
  | 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: b50b14a0cb4198b0c244a5ffedc930ff5ec52d29f36c33469bc6818015f6d6cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "389643a1bdd30e3d87679d2c93aa80d8f5dac0af3c86cb6ce46c1d5d3352c19f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-03-31T16:50:06Z",
    "title_canon_sha256": "6b6d3fc4d91e4ae207f549a10cd9e1794481a73765a76309abfc31c6df8b3681"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.5519",
    "kind": "arxiv",
    "version": 2
  }
}