Pith Number

pith:Y56SEY2P

pith:2017:Y56SEY2PBMBIZHGPPVGGXSIZGH

not attested not anchored not stored refs pending

On Integer Images of Max-plus Linear Mappings

Peter Butkovic

arxiv:1709.09022 v1 · 2017-09-26 · 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{Y56SEY2PBMBIZHGPPVGGXSIZGH}

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	2026-05-18T00:34:21.348288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c77d22634f0b028c9ccf7d4c6bc91931efd73002d53c6e451e669b68da753eb4

Aliases

arxiv: 1709.09022 · arxiv_version: 1709.09022v1 · doi: 10.48550/arxiv.1709.09022 · pith_short_12: Y56SEY2PBMBI · pith_short_16: Y56SEY2PBMBIZHGP · pith_short_8: Y56SEY2P

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/Y56SEY2PBMBIZHGPPVGGXSIZGH \
  | 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: c77d22634f0b028c9ccf7d4c6bc91931efd73002d53c6e451e669b68da753eb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00a27ca5e1526e7cf5561025c517db38e997b163d249fa11625c1ac408a9796a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-09-26T13:56:54Z",
    "title_canon_sha256": "efa2b75bde6c133029c5f2af1f047136ea3d0c345ac38e5ec1fac38f29ecb8d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09022",
    "kind": "arxiv",
    "version": 1
  }
}