Pith Number

pith:L433UQXS

pith:2016:L433UQXS6CSRR4NKUKWRHIZM3B

not attested not anchored not stored refs pending

Abstract tropical linear programming

Georg Loho

arxiv:1612.01890 v2 · 2016-12-06 · math.OC · 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{L433UQXS6CSRR4NKUKWRHIZM3B}

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	2026-05-18T00:29:01.771499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f37ba42f2f0a518f1aaa2ad13a32cd87906cbb0ba9107d975c74f09d8e68efd

Aliases

arxiv: 1612.01890 · arxiv_version: 1612.01890v2 · doi: 10.48550/arxiv.1612.01890 · pith_short_12: L433UQXS6CSR · pith_short_16: L433UQXS6CSRR4NK · pith_short_8: L433UQXS

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/L433UQXS6CSRR4NKUKWRHIZM3B \
  | 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: 5f37ba42f2f0a518f1aaa2ad13a32cd87906cbb0ba9107d975c74f09d8e68efd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e23f7700b2453794fcb4e60f93c2a0ff876a684c0d73d2c2ec3c609b0e5c8c26",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-06T16:23:40Z",
    "title_canon_sha256": "f859247e2cf491ccdb4f39ad88caba7f47a0265d69a41070306f3f674c228a2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01890",
    "kind": "arxiv",
    "version": 2
  }
}