Pith Number

pith:O7CWJ756

pith:2011:O7CWJ7564TXGFWIMDMS2NJ2AB3

not attested not anchored not stored refs pending

Almost commuting unitary matrices related to time reversal

Adam P. W. S{\o}rensen, Terry A. Loring

arxiv:1107.4187 v2 · 2011-07-21 · math.OA · cond-mat.mes-hall

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7CWJ7564TXGFWIMDMS2NJ2AB3}

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	2026-05-18T02:01:13.812088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77c564ffbee4ee62d90c1b25a6a7400ed20838d6cad1937ff9931a4d44f7ee93

Aliases

arxiv: 1107.4187 · arxiv_version: 1107.4187v2 · doi: 10.48550/arxiv.1107.4187 · pith_short_12: O7CWJ7564TXG · pith_short_16: O7CWJ7564TXGFWIM · pith_short_8: O7CWJ756

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/O7CWJ7564TXGFWIMDMS2NJ2AB3 \
  | 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: 77c564ffbee4ee62d90c1b25a6a7400ed20838d6cad1937ff9931a4d44f7ee93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6695a1de0b377ea56777a6452b99ba4b3e346c16941843689ac21af386f8998",
    "cross_cats_sorted": [
      "cond-mat.mes-hall"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-07-21T07:42:30Z",
    "title_canon_sha256": "e14a1235037bde24eef0ac5e8021868696d302b97423e939bf843f2a20772c95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4187",
    "kind": "arxiv",
    "version": 2
  }
}