Pith Number

pith:X77R4YKU

pith:2007:X77R4YKUZGWFIOUJFC2FFFYAZ4

not attested not anchored not stored refs pending

Slider-pinning Rigidity: a Maxwell-Laman-type Theorem

Ileana Streinu, Louis Theran

arxiv:0712.0031 v4 · 2007-12-01 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X77R4YKUZGWFIOUJFC2FFFYAZ4}

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	2026-05-18T04:42:23.230684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfff1e6154c9ac543a8928b4529700cf09b7215bfa42b8528d52e495ecbca784

Aliases

arxiv: 0712.0031 · arxiv_version: 0712.0031v4 · doi: 10.48550/arxiv.0712.0031 · pith_short_12: X77R4YKUZGWF · pith_short_16: X77R4YKUZGWFIOUJ · pith_short_8: X77R4YKU

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/X77R4YKUZGWFIOUJFC2FFFYAZ4 \
  | 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: bfff1e6154c9ac543a8928b4529700cf09b7215bfa42b8528d52e495ecbca784

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31b280c67130af6c61811ce3416db825324b7e4f660d364a5bb9cd56f192de4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2007-12-01T00:24:31Z",
    "title_canon_sha256": "d48aa951123574ca5539742a8b8db5dda86be2ee635941786073ea21d4415e04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.0031",
    "kind": "arxiv",
    "version": 4
  }
}