Pith Number

pith:MRJHF5V5

pith:2019:MRJHF5V5J5RUBPJ52KOYQFDMJ3

not attested not anchored not stored refs pending

Counting realizations of Laman graphs on the sphere

Georg Grasegger, Josef Schicho, Matteo Gallet

arxiv:1903.01145 v1 · 2019-03-04 · math.CO · 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{MRJHF5V5J5RUBPJ52KOYQFDMJ3}

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

On the existence of paradoxical motions of generically rigid graphs on the sphere

Receipt and verification

First computed	2026-07-05T02:23:55.552531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

645272f6bd4f6340bd3dd29d88146c4ecb3fe5be8de94e9deeb5cf656d397488

Aliases

arxiv: 1903.01145 · arxiv_version: 1903.01145v1 · doi: 10.48550/arxiv.1903.01145 · pith_short_12: MRJHF5V5J5RU · pith_short_16: MRJHF5V5J5RUBPJ5 · pith_short_8: MRJHF5V5

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/MRJHF5V5J5RUBPJ52KOYQFDMJ3 \
  | 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: 645272f6bd4f6340bd3dd29d88146c4ecb3fe5be8de94e9deeb5cf656d397488

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca0b047fcca8610680fa2a8b5b140cafb4d66a1384817fd2ed2f8077932b5d53",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-04T09:13:44Z",
    "title_canon_sha256": "17d68b7b5908afea2ae2b3cc4d4f45350356f126377188030961175a470297a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.01145",
    "kind": "arxiv",
    "version": 1
  }
}