Pith Number

pith:YWGDLD2U

pith:2014:YWGDLD2UN5APYOG2CJ5K24LJUC

not attested not anchored not stored refs pending

Congruences and coordinate semirings of tropical varieties

Louis Rowen, Zur Izhakian

arxiv:1408.2428 v1 · 2014-08-11 · math.AG · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YWGDLD2UN5APYOG2CJ5K24LJUC}

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	2026-05-18T02:45:29.423184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c58c358f546f40fc38da127aad7169a092dfa53fbd93c5b305d9beaadc12e22d

Aliases

arxiv: 1408.2428 · arxiv_version: 1408.2428v1 · doi: 10.48550/arxiv.1408.2428 · pith_short_12: YWGDLD2UN5AP · pith_short_16: YWGDLD2UN5APYOG2 · pith_short_8: YWGDLD2U

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/YWGDLD2UN5APYOG2CJ5K24LJUC \
  | 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: c58c358f546f40fc38da127aad7169a092dfa53fbd93c5b305d9beaadc12e22d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "820857ed894bf32777823804c98ebd79d7a8e5ba8f392231eb1d1b66599224cc",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-08-11T14:45:39Z",
    "title_canon_sha256": "5528e762ff831d385d9beff05944c7015df4e0ffcc9d29eb7ed3376c825f4a65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2428",
    "kind": "arxiv",
    "version": 1
  }
}