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Pith Number

pith:NR3B7JW6

pith:2015:NR3B7JW6UT4LPSYC6JK6VOE4LB
not attested not anchored not stored refs pending

Graded polynomial identities for matrices with the transpose involution

Darrell Haile, Michael Natapov

arxiv:1506.00969 v1 · 2015-06-02 · math.RA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NR3B7JW6UT4LPSYC6JK6VOE4LB}

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 2026-05-18T01:59:33.977310Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6c761fa6dea4f8b7cb02f255eab89c58575c5202a31a765538777f2506b06452

Aliases

arxiv: 1506.00969 · arxiv_version: 1506.00969v1 · doi: 10.48550/arxiv.1506.00969 · pith_short_12: NR3B7JW6UT4L · pith_short_16: NR3B7JW6UT4LPSYC · pith_short_8: NR3B7JW6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NR3B7JW6UT4LPSYC6JK6VOE4LB \
  | 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: 6c761fa6dea4f8b7cb02f255eab89c58575c5202a31a765538777f2506b06452
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9a4ba7e8dc9fe2a2d2f72acdbbcf202963aa14f0e8c4738fb5b3131453c92bf9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-06-02T17:43:32Z",
    "title_canon_sha256": "d2592bee0e80a83792ba1529c635d2f39e992e8101c4fcdcea81b644e2b7db41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00969",
    "kind": "arxiv",
    "version": 1
  }
}