Pith Number

pith:Z7QROZA2

pith:2012:Z7QROZA2SODYG6QLA3QRYW55CV

not attested not anchored not stored refs pending

A solution of a tropical linear vector equation

Nikolai Krivulin

arxiv:1212.6107 v1 · 2012-12-26 · math.OC · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7QROZA2SODYG6QLA3QRYW55CV}

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	2026-05-18T03:37:42.747682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfe117641a9387837a0b06e11c5bbd156648c27cde1f6a42d1c197f7fa30a3aa

Aliases

arxiv: 1212.6107 · arxiv_version: 1212.6107v1 · doi: 10.48550/arxiv.1212.6107 · pith_short_12: Z7QROZA2SODY · pith_short_16: Z7QROZA2SODYG6QL · pith_short_8: Z7QROZA2

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/Z7QROZA2SODYG6QLA3QRYW55CV \
  | 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: cfe117641a9387837a0b06e11c5bbd156648c27cde1f6a42d1c197f7fa30a3aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d3a02f61564a0802f54697cfb641e1df8749735b37295cb7aefdf9994930549",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-12-26T01:26:31Z",
    "title_canon_sha256": "caa02d37e25842d9069b1834283ea8f7b7f25de065a26af7db6b712eab7dcd21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6107",
    "kind": "arxiv",
    "version": 1
  }
}