Pith Number

pith:ODTUFKYD

pith:2015:ODTUFKYDZU7IWEBPYI4PJ553BF

not attested not anchored not stored refs pending

A geometric invariant of $6$-dimensional subspaces of $4\times 4$ matrices

Alex Chirvasitu, Michaela Vancliff, S. Paul Smith

arxiv:1512.03954 v3 · 2015-12-12 · math.RA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODTUFKYDZU7IWEBPYI4PJ553BF}

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	2026-05-18T00:13:19.823852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70e742ab03cd3e8b102fc238f4f7bb09416cb39620e95a41f4da7ee03ca40ddb

Aliases

arxiv: 1512.03954 · arxiv_version: 1512.03954v3 · doi: 10.48550/arxiv.1512.03954 · pith_short_12: ODTUFKYDZU7I · pith_short_16: ODTUFKYDZU7IWEBP · pith_short_8: ODTUFKYD

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/ODTUFKYDZU7IWEBPYI4PJ553BF \
  | 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: 70e742ab03cd3e8b102fc238f4f7bb09416cb39620e95a41f4da7ee03ca40ddb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6eb8ccdd77c9f60f1601109823b67edeb400cb6e226b0c9a95016080610402c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-12-12T19:39:12Z",
    "title_canon_sha256": "6a8ad6ca82e99e37ce3883ee5a1b6f7046bfad67ad9f51501390b3c6cc0e1ba4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03954",
    "kind": "arxiv",
    "version": 3
  }
}