Pith Number

pith:HWJ6EZSF

pith:2016:HWJ6EZSFPNJAPNF6GTZLF7EU5C

not attested not anchored not stored refs pending

Symmetric Polynomials in Tropical Algebra Semirings

Davorin Lesnik, Sara Kalisnik Verovsek

arxiv:1607.00245 v3 · 2016-07-01 · 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{HWJ6EZSFPNJAPNF6GTZLF7EU5C}

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	2026-05-18T00:03:59.354154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d93e266457b5207b4be34f2b2fc94e8a02dd83a16f77d6895c726f53fd58b84

Aliases

arxiv: 1607.00245 · arxiv_version: 1607.00245v3 · doi: 10.48550/arxiv.1607.00245 · pith_short_12: HWJ6EZSFPNJA · pith_short_16: HWJ6EZSFPNJAPNF6 · pith_short_8: HWJ6EZSF

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/HWJ6EZSFPNJAPNF6GTZLF7EU5C \
  | 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: 3d93e266457b5207b4be34f2b2fc94e8a02dd83a16f77d6895c726f53fd58b84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48a19e472493f138e4f214540ad399026a1cd914a2ddb9799152afda634d641d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-07-01T13:49:57Z",
    "title_canon_sha256": "e3c6ffa1d0c873c56c046d8008fb03467961802438ad6f610b5d3148c1a6fc38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00245",
    "kind": "arxiv",
    "version": 3
  }
}