Pith Number

pith:A3LHOB7V

pith:2019:A3LHOB7VR4TSEY7WZEJT3B2POH

not attested not anchored not stored refs pending

On the Maximal Solution of A Linear System over Tropical Semirings

Amirhossein Amiraslani, Fateme Olia, Sedighe Jamshidvand, Shaban Ghalandarzadeh

arxiv:1904.13169 v2 · 2019-04-30 · 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{A3LHOB7VR4TSEY7WZEJT3B2POH}

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	2026-05-17T23:42:19.481888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06d67707f58f272263f6c9133d874f71fe7a23001d83e98bfbdb739c716cde8e

Aliases

arxiv: 1904.13169 · arxiv_version: 1904.13169v2 · doi: 10.48550/arxiv.1904.13169 · pith_short_12: A3LHOB7VR4TS · pith_short_16: A3LHOB7VR4TSEY7W · pith_short_8: A3LHOB7V

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/A3LHOB7VR4TSEY7WZEJT3B2POH \
  | 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: 06d67707f58f272263f6c9133d874f71fe7a23001d83e98bfbdb739c716cde8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9718958abc2ad97793b24752c0914c2c4adeecdd84ea0f5ea79cefe1af097223",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-04-30T11:36:25Z",
    "title_canon_sha256": "a7ddf46968314b5ec68ddd5783b21c173fe4a02b7d3b564f0d05f1b7442b930e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.13169",
    "kind": "arxiv",
    "version": 2
  }
}