Pith Number

pith:ZHDQLHFG

pith:2013:ZHDQLHFG3OA4H77R5EQ6ZVIVFE

not attested not anchored not stored refs pending

Pairs of $k$-step reachability and $m$-step observability matrices

Augusto Ferrante, Harald K. Wimmer

arxiv:1309.3209 v1 · 2013-09-12 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHDQLHFG3OA4H77R5EQ6ZVIVFE}

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	2026-05-18T03:13:32.554177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9c7059ca6db81c3fff1e921ecd5152926b37bd63c239042b1b49a7a030988bd

Aliases

arxiv: 1309.3209 · arxiv_version: 1309.3209v1 · doi: 10.48550/arxiv.1309.3209 · pith_short_12: ZHDQLHFG3OA4 · pith_short_16: ZHDQLHFG3OA4H77R · pith_short_8: ZHDQLHFG

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/ZHDQLHFG3OA4H77R5EQ6ZVIVFE \
  | 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: c9c7059ca6db81c3fff1e921ecd5152926b37bd63c239042b1b49a7a030988bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "053016b88aeaeccc9854fd5fa268155b5ea14fd4769d9359c2aba03b4d445f30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-09-12T16:21:45Z",
    "title_canon_sha256": "639366ad07460c3c7f4030f27a2971eceb31b560e1867bb0c8a2885417041008"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3209",
    "kind": "arxiv",
    "version": 1
  }
}