Pith Number

pith:AZ74QCRS

pith:2013:AZ74QCRSQCEMTYOKOMHGC5R5PI

not attested not anchored not stored refs pending

On linear systems and a conjecture of D. C. Butler

L. Brambila-Paz, P. E. Newstead, U. N. Bhosle

arxiv:1304.4495 v4 · 2013-04-16 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZ74QCRSQCEMTYOKOMHGC5R5PI}

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	2026-05-18T02:28:48.310728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

067fc80a328088c9e1ca730e61763d7a1d6b67a2e9b5dc4a251e675667d4da86

Aliases

arxiv: 1304.4495 · arxiv_version: 1304.4495v4 · doi: 10.48550/arxiv.1304.4495 · pith_short_12: AZ74QCRSQCEM · pith_short_16: AZ74QCRSQCEMTYOK · pith_short_8: AZ74QCRS

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/AZ74QCRSQCEMTYOKOMHGC5R5PI \
  | 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: 067fc80a328088c9e1ca730e61763d7a1d6b67a2e9b5dc4a251e675667d4da86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c159c247e22ace4ad3557a6c1f9b717a577770dc4000962351d2d2514e6c5a7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-16T15:40:54Z",
    "title_canon_sha256": "8901d2a30f20c97f67e6d0187bbc32751d3f5e6927413f6ad5883e209e92e324"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4495",
    "kind": "arxiv",
    "version": 4
  }
}