Pith Number

pith:S4Z45GJW

pith:2018:S4Z45GJWG556UQ2XOLMOZPUD4M

not attested not anchored not stored refs pending

Ulrich and aCM bundles from invariant theory

Laurent Manivel (IMT)

arxiv:1803.07857 v1 · 2018-03-21 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4Z45GJWG556UQ2XOLMOZPUD4M}

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	2026-05-18T00:20:28.720279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9733ce9936377bea435772d8ecbe83e314af2955b9276297c95adef73d51a0a1

Aliases

arxiv: 1803.07857 · arxiv_version: 1803.07857v1 · doi: 10.48550/arxiv.1803.07857 · pith_short_12: S4Z45GJWG556 · pith_short_16: S4Z45GJWG556UQ2X · pith_short_8: S4Z45GJW

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/S4Z45GJWG556UQ2XOLMOZPUD4M \
  | 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: 9733ce9936377bea435772d8ecbe83e314af2955b9276297c95adef73d51a0a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3980aaefc0a5ce6d1717f53825b5cabdda615e18816c0570c797d913d765435d",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-03-21T11:07:06Z",
    "title_canon_sha256": "8a61a0d6f948c3ad4aeb84700639e739f45982fae4414b869bcb4ed476de286b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07857",
    "kind": "arxiv",
    "version": 1
  }
}