Pith Number

pith:LEU3JLFJ

pith:2010:LEU3JLFJL3MYWCHCMUSTYU4XMN

not attested not anchored not stored refs pending

On the critical group of matrices

Carlos E. Valencia, Hugo Corrales

arxiv:1008.5176 v1 · 2010-08-30 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LEU3JLFJL3MYWCHCMUSTYU4XMN}

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	2026-05-18T04:01:13.384103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5929b4aca95ed98b08e265253c5397636b83ff6c50ec82cf99adf2fa9bfce82e

Aliases

arxiv: 1008.5176 · arxiv_version: 1008.5176v1 · doi: 10.48550/arxiv.1008.5176 · pith_short_12: LEU3JLFJL3MY · pith_short_16: LEU3JLFJL3MYWCHC · pith_short_8: LEU3JLFJ

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/LEU3JLFJL3MYWCHCMUSTYU4XMN \
  | 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: 5929b4aca95ed98b08e265253c5397636b83ff6c50ec82cf99adf2fa9bfce82e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11123ee67dfc7e737b68198dc134c5a0e18f23f77f46421c436ec4c8feebd000",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-08-30T21:58:33Z",
    "title_canon_sha256": "2adc27d7ceb84a342977634df739d8773ae097aad02545c2a9d5bc5eb82bc752"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.5176",
    "kind": "arxiv",
    "version": 1
  }
}