pith. sign in
Pith Number

pith:TPJVHY7T

pith:2015:TPJVHY7T52EPTJI6V6QY6QJV6Y
not attested not anchored not stored refs pending

Permanent versus determinant: not via saturations

Christian Ikenmeyer, Jesko H\"uttenhain, Peter B\"urgisser

arxiv:1501.05528 v2 · 2015-01-22 · cs.CC · math.RT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TPJVHY7T52EPTJI6V6QY6QJV6Y}

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 2026-05-18T00:49:52.759710Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9bd353e3f3ee88f9a51eafa18f4135f60fd944ad6573b19f25b4be2c9730028e

Aliases

arxiv: 1501.05528 · arxiv_version: 1501.05528v2 · doi: 10.48550/arxiv.1501.05528 · pith_short_12: TPJVHY7T52EP · pith_short_16: TPJVHY7T52EPTJI6 · pith_short_8: TPJVHY7T
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TPJVHY7T52EPTJI6V6QY6QJV6Y \
  | 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: 9bd353e3f3ee88f9a51eafa18f4135f60fd944ad6573b19f25b4be2c9730028e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "214a3e095a30b7131ecc4629d15e421a9eab7f424821755c9d4837a5cf3f9418",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-01-22T15:11:40Z",
    "title_canon_sha256": "da504ecbb172d7ad5e12251bb0c81dd02d662116630fb79789c241715bb4ae79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05528",
    "kind": "arxiv",
    "version": 2
  }
}