Pith Number

pith:HG7S26Z3

pith:2013:HG7S26Z3UY7SW5ZASFFRMFKAGH

not attested not anchored not stored refs pending

Identities for matrix invariants of the symplectic group

Artem A. Lopatin

arxiv:1303.0896 v2 · 2013-03-05 · math.RA · 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{HG7S26Z3UY7SW5ZASFFRMFKAGH}

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	2026-05-18T02:42:13.267655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39bf2d7b3ba63f2b7720914b16154031c7531c4bb410c4ab8ee313f3ded2731e

Aliases

arxiv: 1303.0896 · arxiv_version: 1303.0896v2 · doi: 10.48550/arxiv.1303.0896 · pith_short_12: HG7S26Z3UY7S · pith_short_16: HG7S26Z3UY7SW5ZA · pith_short_8: HG7S26Z3

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/HG7S26Z3UY7SW5ZASFFRMFKAGH \
  | 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: 39bf2d7b3ba63f2b7720914b16154031c7531c4bb410c4ab8ee313f3ded2731e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0b594b24fda6c5a5b81e94398237dc9b81b7545f1556ff8e01b377a8094e600",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-03-05T00:04:32Z",
    "title_canon_sha256": "39fba4c74994d8d61b30832e011e1878f69e86f40f4ef6f7a56f1d1154eded7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0896",
    "kind": "arxiv",
    "version": 2
  }
}