Pith Number

pith:HSVS6ZD5

pith:2016:HSVS6ZD5OJVR5IXJXLZ4TOQ7PJ

not attested not anchored not stored refs pending

Comparison of max-plus automata and joint spectral radius of tropical matrices

Glenn Merlet, Laure Daviaud, Pierre Guillon

arxiv:1612.02647 v2 · 2016-12-08 · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HSVS6ZD5OJVR5IXJXLZ4TOQ7PJ}

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	2026-05-18T00:49:36.347961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cab2f647d726b1ea2e9baf3c9ba1f7a57712bffae6159f858c528cc803a36c1

Aliases

arxiv: 1612.02647 · arxiv_version: 1612.02647v2 · doi: 10.48550/arxiv.1612.02647 · pith_short_12: HSVS6ZD5OJVR · pith_short_16: HSVS6ZD5OJVR5IXJ · pith_short_8: HSVS6ZD5

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/HSVS6ZD5OJVR5IXJXLZ4TOQ7PJ \
  | 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: 3cab2f647d726b1ea2e9baf3c9ba1f7a57712bffae6159f858c528cc803a36c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0868350e6976ecf015821aa7aa6a41e4632e1a9bfe08ac8681ed90362149e451",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2016-12-08T14:04:03Z",
    "title_canon_sha256": "dc865c2ad3c845998ed189c4b75d8a37e6c6764df41ec40d379f23ce3cf0881b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02647",
    "kind": "arxiv",
    "version": 2
  }
}