Pith Number

pith:SA4ZAKPN

pith:2017:SA4ZAKPNCIO7KBYC3UBSFWYZML

not attested not anchored not stored refs pending

A coordinate-free theory of virtual holonomic constraints

Alessandro Costalunga, Luca Consolini, Manfredi Maggiore

arxiv:1709.07726 v3 · 2017-09-21 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SA4ZAKPNCIO7KBYC3UBSFWYZML}

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	2026-05-18T00:00:43.698771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90399029ed121df50702dd0322db1962e394631e990f036ef0ff01f5fde0db9e

Aliases

arxiv: 1709.07726 · arxiv_version: 1709.07726v3 · doi: 10.48550/arxiv.1709.07726 · pith_short_12: SA4ZAKPNCIO7 · pith_short_16: SA4ZAKPNCIO7KBYC · pith_short_8: SA4ZAKPN

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/SA4ZAKPNCIO7KBYC3UBSFWYZML \
  | 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: 90399029ed121df50702dd0322db1962e394631e990f036ef0ff01f5fde0db9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "011f1c29805d6ce8faa08155a9bf225df97aa5b3ef1da340f8458b5ea4386c27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-09-21T17:57:56Z",
    "title_canon_sha256": "3070730a530c6796333943986e182d8589face8ffd03f0286f72912f6050839b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07726",
    "kind": "arxiv",
    "version": 3
  }
}