Pith Number

pith:ZC4JHOU6

pith:2015:ZC4JHOU67PLED4DIMWGR3ABLGZ

not attested not anchored not stored refs pending

Polynomial complexity recognizing a tropical linear variety

Dima Grigoriev

arxiv:1503.06126 v1 · 2015-03-20 · cs.SC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZC4JHOU67PLED4DIMWGR3ABLGZ}

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	2026-05-18T00:01:23.787452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8b893ba9efbd641f068658d1d802b366daad637b5d9c740c0502f80e05d51b4

Aliases

arxiv: 1503.06126 · arxiv_version: 1503.06126v1 · doi: 10.48550/arxiv.1503.06126 · pith_short_12: ZC4JHOU67PLE · pith_short_16: ZC4JHOU67PLED4DI · pith_short_8: ZC4JHOU6

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/ZC4JHOU67PLED4DIMWGR3ABLGZ \
  | 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: c8b893ba9efbd641f068658d1d802b366daad637b5d9c740c0502f80e05d51b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b53beb7bca2e7d3fb31efac5dac2cc483cfd442069285b587becfe916fce131b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2015-03-20T15:58:25Z",
    "title_canon_sha256": "bf0ddbffd7d314c2bd8fcfa81474cdb7bc3658159f15550de0e0410f796b0a78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06126",
    "kind": "arxiv",
    "version": 1
  }
}