Pith Number

pith:4SOZH42R

pith:2018:4SOZH42RRUFTN4KM4A32ECFZ3C

not attested not anchored not stored refs pending

Tropical Gaussians: A Brief Survey

Ngoc Mai Tran

arxiv:1808.10843 v2 · 2018-08-31 · math.PR · math.AG · 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{4SOZH42RRUFTN4KM4A32ECFZ3C}

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.

Cited by

1 paper in Pith

Statistics and tropicalization of local field Gaussian measures

Receipt and verification

First computed	2026-07-05T02:02:29.783839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e49d93f3518d0b36f14ce037a208b9d8997b3c75986bbee938ece92363a3593b

Aliases

arxiv: 1808.10843 · arxiv_version: 1808.10843v2 · doi: 10.48550/arxiv.1808.10843 · pith_short_12: 4SOZH42RRUFT · pith_short_16: 4SOZH42RRUFTN4KM · pith_short_8: 4SOZH42R

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/4SOZH42RRUFTN4KM4A32ECFZ3C \
  | 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: e49d93f3518d0b36f14ce037a208b9d8997b3c75986bbee938ece92363a3593b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98638da172e2e8e32dd81bcc6950c24f69ec1ef9e869a25059433a32289c88da",
    "cross_cats_sorted": [
      "math.AG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-31T17:12:09Z",
    "title_canon_sha256": "548a13869801a66cad80bdd89a9cabfd07da0ed8afa67808a682dfb6dee8ed57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10843",
    "kind": "arxiv",
    "version": 2
  }
}