Pith Number

pith:2PCMRLXJ

pith:2012:2PCMRLXJGBXT7TG23IIS6XTBXS

not attested not anchored not stored refs pending

Multi-Centered Invariants, Plethysm and Grassmannians

Alessio Marrani, Bert van Geemen, Sergio L. Cacciatori

arxiv:1211.3432 v1 · 2012-11-14 · math-ph · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PCMRLXJGBXT7TG23IIS6XTBXS}

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	2026-05-18T01:53:11.096714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3c4c8aee9306f3fccdada112f5e61bcbb05343259b56e9613676f94998fbf0b

Aliases

arxiv: 1211.3432 · arxiv_version: 1211.3432v1 · doi: 10.48550/arxiv.1211.3432 · pith_short_12: 2PCMRLXJGBXT · pith_short_16: 2PCMRLXJGBXT7TG2 · pith_short_8: 2PCMRLXJ

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/2PCMRLXJGBXT7TG23IIS6XTBXS \
  | 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: d3c4c8aee9306f3fccdada112f5e61bcbb05343259b56e9613676f94998fbf0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e645563855f3cb0a1f164b28022e3e594bb96b45dadfc3f9e901ca0847d1bef4",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-14T21:15:36Z",
    "title_canon_sha256": "f94351478b9d39afc9b7e2f297bad866496c96253c4c65e6cd26de6d48ccb8e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3432",
    "kind": "arxiv",
    "version": 1
  }
}