Pith Number

pith:SO3KTGHB

pith:2017:SO3KTGHBKWHWRFX7MM27IC6NMA

not attested not anchored not stored refs pending

Two characteristic polynomials corresponding to graphical networks over min-plus algebra

Aito Yasuda, Masashi Iwasaki, Sennosuke Watanabe, Yoshihide Watanabe, Yuto Tozuka

arxiv:1705.09513 v1 · 2017-05-26 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SO3KTGHBKWHWRFX7MM27IC6NMA}

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	2026-05-18T00:43:38.485328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93b6a998e1558f6896ff6335f40bcd6012efdb238086bccaf61c7439e869f4f9

Aliases

arxiv: 1705.09513 · arxiv_version: 1705.09513v1 · doi: 10.48550/arxiv.1705.09513 · pith_short_12: SO3KTGHBKWHW · pith_short_16: SO3KTGHBKWHWRFX7 · pith_short_8: SO3KTGHB

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/SO3KTGHBKWHWRFX7MM27IC6NMA \
  | 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: 93b6a998e1558f6896ff6335f40bcd6012efdb238086bccaf61c7439e869f4f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "158836b2c9cda8e84be22681c4402da520764c1b6ea80d0b93d01edd3d35a607",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-26T10:29:34Z",
    "title_canon_sha256": "4c0067f6ad5c46942a494827d0e9ef8356a8071273f378b372e43f37cd2367a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09513",
    "kind": "arxiv",
    "version": 1
  }
}