Pith Number

pith:MBY5333H

pith:2015:MBY5333HMVHRSAKZ5KQLR5Z4PK

not attested not anchored not stored refs pending

Gramian-based reachability metrics for bilinear networks

Jorge Cort\'es, Yingbo Zhao

arxiv:1509.02877 v2 · 2015-09-09 · 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{MBY5333HMVHRSAKZ5KQLR5Z4PK}

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	2026-05-18T01:21:19.449710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6071ddef67654f190159eaa0b8f73c7ab572e814526c91178ed9928da8b2f6e7

Aliases

arxiv: 1509.02877 · arxiv_version: 1509.02877v2 · doi: 10.48550/arxiv.1509.02877 · pith_short_12: MBY5333HMVHR · pith_short_16: MBY5333HMVHRSAKZ · pith_short_8: MBY5333H

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/MBY5333HMVHRSAKZ5KQLR5Z4PK \
  | 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: 6071ddef67654f190159eaa0b8f73c7ab572e814526c91178ed9928da8b2f6e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e8381582f3b0d71ee13146cb2c7a998ae9b18e613ee26f2fcfa735976585a43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2015-09-09T18:18:12Z",
    "title_canon_sha256": "59e2ddb82b2438692a3bb8c694b307c0d19fac9c88fabcd4de765b48ab5dbe52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02877",
    "kind": "arxiv",
    "version": 2
  }
}