Pith Number

pith:P2KVCZJK

pith:2012:P2KVCZJKH5DPD724K62ELQPVIA

not attested not anchored not stored refs pending

Relative parametrization of linear multidimensional systems

Jean-Fran\c{c}ois Pommaret (CERMICS)

arxiv:1212.4590 v1 · 2012-12-19 · math.AP · cs.SC · math.AC · math.DG · 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{P2KVCZJKH5DPD724K62ELQPVIA}

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	2026-05-18T03:38:04.578995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e9551652a3f46f1ff5c57b445c1f540148810763cf6f150a97c4679e2ece10e

Aliases

arxiv: 1212.4590 · arxiv_version: 1212.4590v1 · doi: 10.48550/arxiv.1212.4590 · pith_short_12: P2KVCZJKH5DP · pith_short_16: P2KVCZJKH5DPD724 · pith_short_8: P2KVCZJK

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/P2KVCZJKH5DPD724K62ELQPVIA \
  | 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: 7e9551652a3f46f1ff5c57b445c1f540148810763cf6f150a97c4679e2ece10e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6261f73e4577ac039c390cbea41d8ceed420854109e1cb750a8dda0cc6eaf833",
    "cross_cats_sorted": [
      "cs.SC",
      "math.AC",
      "math.DG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-19T07:47:53Z",
    "title_canon_sha256": "d54ab884ddf22a70e55c9e1dbed5ad981ef0527326b9f6c517ced3ec43b6cdbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4590",
    "kind": "arxiv",
    "version": 1
  }
}