Pith Number

pith:XNTPSHD6

pith:2011:XNTPSHD6CVMQSWZZVBS3U7X5NS

not attested not anchored not stored refs pending

Simultaneous unitary equivalences

Roger A. Horn, Tatiana G. Gerasimova, Vladimir V. Sergeichuk

arxiv:1112.4446 v1 · 2011-12-19 · 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{XNTPSHD6CVMQSWZZVBS3U7X5NS}

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	2026-05-18T02:56:44.591030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb66f91c7e1559095b39a865ba7efd6c9c34eca4d90e9a023f927590daf7b736

Aliases

arxiv: 1112.4446 · arxiv_version: 1112.4446v1 · doi: 10.48550/arxiv.1112.4446 · pith_short_12: XNTPSHD6CVMQ · pith_short_16: XNTPSHD6CVMQSWZZ · pith_short_8: XNTPSHD6

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/XNTPSHD6CVMQSWZZVBS3U7X5NS \
  | 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: bb66f91c7e1559095b39a865ba7efd6c9c34eca4d90e9a023f927590daf7b736

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4ad800bf38f6a0160c29c158b3309d18b1bd8f7082054976f2b1dec3e05222c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-12-19T19:51:23Z",
    "title_canon_sha256": "15a86c00063314e9e5239f443562dc89bbfe9e3d6d1640d390f2803930e146e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4446",
    "kind": "arxiv",
    "version": 1
  }
}