Pith Number

pith:GZ7FNDQM

pith:2016:GZ7FNDQMLQOHZ5EW3OQBDBKDPA

not attested not anchored not stored refs pending

Iterated Gilbert Mosaics and Poisson Tropical Plane Curves

Francois Baccelli, Ngoc M. Tran

arxiv:1610.08533 v1 · 2016-10-26 · math.PR · 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{GZ7FNDQMLQOHZ5EW3OQBDBKDPA}

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	2026-05-18T01:01:07.919440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

367e568e0c5c1c7cf496dba0118543782510d69d8ca5634843ef44c5a0c9cfb0

Aliases

arxiv: 1610.08533 · arxiv_version: 1610.08533v1 · doi: 10.48550/arxiv.1610.08533 · pith_short_12: GZ7FNDQMLQOH · pith_short_16: GZ7FNDQMLQOHZ5EW · pith_short_8: GZ7FNDQM

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/GZ7FNDQMLQOHZ5EW3OQBDBKDPA \
  | 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: 367e568e0c5c1c7cf496dba0118543782510d69d8ca5634843ef44c5a0c9cfb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fe963eab724e057d3c52850ff4f9afe4064f33d5aacb62686293f116ea8d4ab",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-26T20:24:31Z",
    "title_canon_sha256": "98a114e93e76355621c6c738294b47b480c253b31513b4afbfe3c23bee46584e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08533",
    "kind": "arxiv",
    "version": 1
  }
}